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Finding the Fourth Proportional to 6,387.78, 9,581.57 and 2,875.31

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Solution

The fourth proportional to 6,387.78, 9,581.57 and 2,875.31 is: 4,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.78 : 9,581.57 = 2,875.31 : x
  2. Step 2: Convert to fraction form
    6,387.78/9,581.57 = 2,875.31/x
  3. Step 3: Cross multiply
    6,387.78x = 9,581.57 × 2,875.31
  4. Step 4: Simplify right side
    6,387.78x = 27,549,921.75
  5. Step 5: Solve for x
    x = 27,549,921.75/6,387.78
  6. Step 6: Final answer
    x = 4,312.91

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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.