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Finding the Fourth Proportional to 2,374.87, 3,562.98 and 815.08

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Solution

The fourth proportional to 2,374.87, 3,562.98 and 815.08 is: 1,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.87 : 3,562.98 = 815.08 : x
  2. Step 2: Convert to fraction form
    2,374.87/3,562.98 = 815.08/x
  3. Step 3: Cross multiply
    2,374.87x = 3,562.98 × 815.08
  4. Step 4: Simplify right side
    2,374.87x = 2,904,113.74
  5. Step 5: Solve for x
    x = 2,904,113.74/2,374.87
  6. Step 6: Final answer
    x = 1,222.85

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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.