Home / 1,587.87-2,381.72-942.71

Finding the Fourth Proportional to 1,587.87, 2,381.72 and 942.71

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Solution

The fourth proportional to 1,587.87, 2,381.72 and 942.71 is: 1,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.87 : 2,381.72 = 942.71 : x
  2. Step 2: Convert to fraction form
    1,587.87/2,381.72 = 942.71/x
  3. Step 3: Cross multiply
    1,587.87x = 2,381.72 × 942.71
  4. Step 4: Simplify right side
    1,587.87x = 2,245,254.64
  5. Step 5: Solve for x
    x = 2,245,254.64/1,587.87
  6. Step 6: Final answer
    x = 1,414.00

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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.