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Finding the Fourth Proportional to 13,437.64, 18,543.14 and 7,469.10

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Solution

The fourth proportional to 13,437.64, 18,543.14 and 7,469.10 is: 10,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.64 : 18,543.14 = 7,469.10 : x
  2. Step 2: Convert to fraction form
    13,437.64/18,543.14 = 7,469.10/x
  3. Step 3: Cross multiply
    13,437.64x = 18,543.14 × 7,469.10
  4. Step 4: Simplify right side
    13,437.64x = 138,500,529.63
  5. Step 5: Solve for x
    x = 138,500,529.63/13,437.64
  6. Step 6: Final answer
    x = 10,306.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.