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Finding the Fourth Proportional to 13,146.52, 19,708.88 and 5,244.16

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Solution

The fourth proportional to 13,146.52, 19,708.88 and 5,244.16 is: 7,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.52 : 19,708.88 = 5,244.16 : x
  2. Step 2: Convert to fraction form
    13,146.52/19,708.88 = 5,244.16/x
  3. Step 3: Cross multiply
    13,146.52x = 19,708.88 × 5,244.16
  4. Step 4: Simplify right side
    13,146.52x = 103,356,520.14
  5. Step 5: Solve for x
    x = 103,356,520.14/13,146.52
  6. Step 6: Final answer
    x = 7,861.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.