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Finding the Fourth Proportional to 7,661.53, 10,565.09 and 7,215.06

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Solution

The fourth proportional to 7,661.53, 10,565.09 and 7,215.06 is: 9,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.53 : 10,565.09 = 7,215.06 : x
  2. Step 2: Convert to fraction form
    7,661.53/10,565.09 = 7,215.06/x
  3. Step 3: Cross multiply
    7,661.53x = 10,565.09 × 7,215.06
  4. Step 4: Simplify right side
    7,661.53x = 76,227,758.26
  5. Step 5: Solve for x
    x = 76,227,758.26/7,661.53
  6. Step 6: Final answer
    x = 9,949.42

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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.