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Finding the Fourth Proportional to 7,717.07, 10,650.08 and 7,438.23

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Solution

The fourth proportional to 7,717.07, 10,650.08 and 7,438.23 is: 10,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.07 : 10,650.08 = 7,438.23 : x
  2. Step 2: Convert to fraction form
    7,717.07/10,650.08 = 7,438.23/x
  3. Step 3: Cross multiply
    7,717.07x = 10,650.08 × 7,438.23
  4. Step 4: Simplify right side
    7,717.07x = 79,217,763.15
  5. Step 5: Solve for x
    x = 79,217,763.15/7,717.07
  6. Step 6: Final answer
    x = 10,265.26

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.