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Finding the Fourth Proportional to 13,757.29, 18,985.11 and 7,469.66

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Solution

The fourth proportional to 13,757.29, 18,985.11 and 7,469.66 is: 10,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.29 : 18,985.11 = 7,469.66 : x
  2. Step 2: Convert to fraction form
    13,757.29/18,985.11 = 7,469.66/x
  3. Step 3: Cross multiply
    13,757.29x = 18,985.11 × 7,469.66
  4. Step 4: Simplify right side
    13,757.29x = 141,812,316.76
  5. Step 5: Solve for x
    x = 141,812,316.76/13,757.29
  6. Step 6: Final answer
    x = 10,308.16

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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.