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Finding the Fourth Proportional to 15,224.85, 21,006.09 and 8,509.71

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Solution

The fourth proportional to 15,224.85, 21,006.09 and 8,509.71 is: 11,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224.85 : 21,006.09 = 8,509.71 : x
  2. Step 2: Convert to fraction form
    15,224.85/21,006.09 = 8,509.71/x
  3. Step 3: Cross multiply
    15,224.85x = 21,006.09 × 8,509.71
  4. Step 4: Simplify right side
    15,224.85x = 178,755,734.13
  5. Step 5: Solve for x
    x = 178,755,734.13/15,224.85
  6. Step 6: Final answer
    x = 11,741.05

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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.