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Finding the Fourth Proportional to 7,731.21, 11,515.38 and 7,569.21

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Solution

The fourth proportional to 7,731.21, 11,515.38 and 7,569.21 is: 11,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.21 : 11,515.38 = 7,569.21 : x
  2. Step 2: Convert to fraction form
    7,731.21/11,515.38 = 7,569.21/x
  3. Step 3: Cross multiply
    7,731.21x = 11,515.38 × 7,569.21
  4. Step 4: Simplify right side
    7,731.21x = 87,162,329.45
  5. Step 5: Solve for x
    x = 87,162,329.45/7,731.21
  6. Step 6: Final answer
    x = 11,274.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.