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Finding the Fourth Proportional to 1,854.65, 2,781.20 and 814.12

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Solution

The fourth proportional to 1,854.65, 2,781.20 and 814.12 is: 1,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.65 : 2,781.20 = 814.12 : x
  2. Step 2: Convert to fraction form
    1,854.65/2,781.20 = 814.12/x
  3. Step 3: Cross multiply
    1,854.65x = 2,781.20 × 814.12
  4. Step 4: Simplify right side
    1,854.65x = 2,264,225.63
  5. Step 5: Solve for x
    x = 2,264,225.63/1,854.65
  6. Step 6: Final answer
    x = 1,220.84

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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.