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Finding the Fourth Proportional to 1,387.41, 2,081.12 and 813.93

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Solution

The fourth proportional to 1,387.41, 2,081.12 and 813.93 is: 1,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.41 : 2,081.12 = 813.93 : x
  2. Step 2: Convert to fraction form
    1,387.41/2,081.12 = 813.93/x
  3. Step 3: Cross multiply
    1,387.41x = 2,081.12 × 813.93
  4. Step 4: Simplify right side
    1,387.41x = 1,693,881.93
  5. Step 5: Solve for x
    x = 1,693,881.93/1,387.41
  6. Step 6: Final answer
    x = 1,220.90

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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.