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Finding the Fourth Proportional to 3,872.32, 5,810.04 and 1,564

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Solution

The fourth proportional to 3,872.32, 5,810.04 and 1,564 is: 2,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.32 : 5,810.04 = 1,564 : x
  2. Step 2: Convert to fraction form
    3,872.32/5,810.04 = 1,564/x
  3. Step 3: Cross multiply
    3,872.32x = 5,810.04 × 1,564
  4. Step 4: Simplify right side
    3,872.32x = 9,086,902.56
  5. Step 5: Solve for x
    x = 9,086,902.56/3,872.32
  6. Step 6: Final answer
    x = 2,346.63

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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.