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Finding the Fourth Proportional to 13,431.38, 18,534.88 and 7,462.88

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Solution

The fourth proportional to 13,431.38, 18,534.88 and 7,462.88 is: 10,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.38 : 18,534.88 = 7,462.88 : x
  2. Step 2: Convert to fraction form
    13,431.38/18,534.88 = 7,462.88/x
  3. Step 3: Cross multiply
    13,431.38x = 18,534.88 × 7,462.88
  4. Step 4: Simplify right side
    13,431.38x = 138,323,585.25
  5. Step 5: Solve for x
    x = 138,323,585.25/13,431.38
  6. Step 6: Final answer
    x = 10,298.54

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Half 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.