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Finding the Fourth Proportional to 5,318.66, 7,965.62 and 5,134.10

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Solution

The fourth proportional to 5,318.66, 7,965.62 and 5,134.10 is: 7,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.66 : 7,965.62 = 5,134.10 : x
  2. Step 2: Convert to fraction form
    5,318.66/7,965.62 = 5,134.10/x
  3. Step 3: Cross multiply
    5,318.66x = 7,965.62 × 5,134.10
  4. Step 4: Simplify right side
    5,318.66x = 40,896,289.64
  5. Step 5: Solve for x
    x = 40,896,289.64/5,318.66
  6. Step 6: Final answer
    x = 7,689.21

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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.