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Finding the Fourth Proportional to 13,710.64, 20,538.54 and 6,304.96

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Solution

The fourth proportional to 13,710.64, 20,538.54 and 6,304.96 is: 9,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.64 : 20,538.54 = 6,304.96 : x
  2. Step 2: Convert to fraction form
    13,710.64/20,538.54 = 6,304.96/x
  3. Step 3: Cross multiply
    13,710.64x = 20,538.54 × 6,304.96
  4. Step 4: Simplify right side
    13,710.64x = 129,494,673.16
  5. Step 5: Solve for x
    x = 129,494,673.16/13,710.64
  6. Step 6: Final answer
    x = 9,444.83

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Why These Related Problems?

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