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Finding the Fourth Proportional to 2,387.90, 3,581.94 and 656.66

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Solution

The fourth proportional to 2,387.90, 3,581.94 and 656.66 is: 985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.90 : 3,581.94 = 656.66 : x
  2. Step 2: Convert to fraction form
    2,387.90/3,581.94 = 656.66/x
  3. Step 3: Cross multiply
    2,387.90x = 3,581.94 × 656.66
  4. Step 4: Simplify right side
    2,387.90x = 2,352,116.72
  5. Step 5: Solve for x
    x = 2,352,116.72/2,387.90
  6. Step 6: Final answer
    x = 985.01

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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.