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Finding the Fourth Proportional to 13,502.53, 18,640.49 and 9,864.49

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Solution

The fourth proportional to 13,502.53, 18,640.49 and 9,864.49 is: 13,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.53 : 18,640.49 = 9,864.49 : x
  2. Step 2: Convert to fraction form
    13,502.53/18,640.49 = 9,864.49/x
  3. Step 3: Cross multiply
    13,502.53x = 18,640.49 × 9,864.49
  4. Step 4: Simplify right side
    13,502.53x = 183,878,959.11
  5. Step 5: Solve for x
    x = 183,878,959.11/13,502.53
  6. Step 6: Final answer
    x = 13,618.12

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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.