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Finding the Fourth Proportional to 13,566, 18,728.76 and 10,248.24

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Solution

The fourth proportional to 13,566, 18,728.76 and 10,248.24 is: 14,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566 : 18,728.76 = 10,248.24 : x
  2. Step 2: Convert to fraction form
    13,566/18,728.76 = 10,248.24/x
  3. Step 3: Cross multiply
    13,566x = 18,728.76 × 10,248.24
  4. Step 4: Simplify right side
    13,566x = 191,936,827.38
  5. Step 5: Solve for x
    x = 191,936,827.38/13,566
  6. Step 6: Final answer
    x = 14,148.37

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Double scale
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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.