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Finding the Fourth Proportional to 11,515.71, 15,893.10 and 6,480.15

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Solution

The fourth proportional to 11,515.71, 15,893.10 and 6,480.15 is: 8,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.71 : 15,893.10 = 6,480.15 : x
  2. Step 2: Convert to fraction form
    11,515.71/15,893.10 = 6,480.15/x
  3. Step 3: Cross multiply
    11,515.71x = 15,893.10 × 6,480.15
  4. Step 4: Simplify right side
    11,515.71x = 102,989,671.97
  5. Step 5: Solve for x
    x = 102,989,671.97/11,515.71
  6. Step 6: Final answer
    x = 8,943.41

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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.