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Finding the Fourth Proportional to 9,213.59, 12,713.48 and 5,436.92

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Solution

The fourth proportional to 9,213.59, 12,713.48 and 5,436.92 is: 7,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.59 : 12,713.48 = 5,436.92 : x
  2. Step 2: Convert to fraction form
    9,213.59/12,713.48 = 5,436.92/x
  3. Step 3: Cross multiply
    9,213.59x = 12,713.48 × 5,436.92
  4. Step 4: Simplify right side
    9,213.59x = 69,122,099.10
  5. Step 5: Solve for x
    x = 69,122,099.10/9,213.59
  6. Step 6: Final answer
    x = 7,502.19

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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.