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Finding the Fourth Proportional to 3,957.32, 5,931.70 and 1,874.21

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Solution

The fourth proportional to 3,957.32, 5,931.70 and 1,874.21 is: 2,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.32 : 5,931.70 = 1,874.21 : x
  2. Step 2: Convert to fraction form
    3,957.32/5,931.70 = 1,874.21/x
  3. Step 3: Cross multiply
    3,957.32x = 5,931.70 × 1,874.21
  4. Step 4: Simplify right side
    3,957.32x = 11,117,217.11
  5. Step 5: Solve for x
    x = 11,117,217.11/3,957.32
  6. Step 6: Final answer
    x = 2,809.28

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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.