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Finding the Fourth Proportional to 5,124.96, 7,687.98 and 1,962.40

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Solution

The fourth proportional to 5,124.96, 7,687.98 and 1,962.40 is: 2,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.96 : 7,687.98 = 1,962.40 : x
  2. Step 2: Convert to fraction form
    5,124.96/7,687.98 = 1,962.40/x
  3. Step 3: Cross multiply
    5,124.96x = 7,687.98 × 1,962.40
  4. Step 4: Simplify right side
    5,124.96x = 15,086,891.95
  5. Step 5: Solve for x
    x = 15,086,891.95/5,124.96
  6. Step 6: Final answer
    x = 2,943.81

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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.