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Finding the Fourth Proportional to 11,969.97, 16,502.29 and 9,728.29

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Solution

The fourth proportional to 11,969.97, 16,502.29 and 9,728.29 is: 13,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.97 : 16,502.29 = 9,728.29 : x
  2. Step 2: Convert to fraction form
    11,969.97/16,502.29 = 9,728.29/x
  3. Step 3: Cross multiply
    11,969.97x = 16,502.29 × 9,728.29
  4. Step 4: Simplify right side
    11,969.97x = 160,539,062.78
  5. Step 5: Solve for x
    x = 160,539,062.78/11,969.97
  6. Step 6: Final answer
    x = 13,411.82

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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.