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Finding the Fourth Proportional to 5,382.96, 8,073.98 and 1,487

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Solution

The fourth proportional to 5,382.96, 8,073.98 and 1,487 is: 2,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.96 : 8,073.98 = 1,487 : x
  2. Step 2: Convert to fraction form
    5,382.96/8,073.98 = 1,487/x
  3. Step 3: Cross multiply
    5,382.96x = 8,073.98 × 1,487
  4. Step 4: Simplify right side
    5,382.96x = 12,006,008.26
  5. Step 5: Solve for x
    x = 12,006,008.26/5,382.96
  6. Step 6: Final answer
    x = 2,230.37

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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.