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Finding the Fourth Proportional to 9,710.88, 13,400.16 and 5,732.16

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Solution

The fourth proportional to 9,710.88, 13,400.16 and 5,732.16 is: 7,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.88 : 13,400.16 = 5,732.16 : x
  2. Step 2: Convert to fraction form
    9,710.88/13,400.16 = 5,732.16/x
  3. Step 3: Cross multiply
    9,710.88x = 13,400.16 × 5,732.16
  4. Step 4: Simplify right side
    9,710.88x = 76,811,861.15
  5. Step 5: Solve for x
    x = 76,811,861.15/9,710.88
  6. Step 6: Final answer
    x = 7,909.88

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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.