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Finding the Fourth Proportional to 1,781.54, 2,673.74 and 916.10

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Solution

The fourth proportional to 1,781.54, 2,673.74 and 916.10 is: 1,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.54 : 2,673.74 = 916.10 : x
  2. Step 2: Convert to fraction form
    1,781.54/2,673.74 = 916.10/x
  3. Step 3: Cross multiply
    1,781.54x = 2,673.74 × 916.10
  4. Step 4: Simplify right side
    1,781.54x = 2,449,402.14
  5. Step 5: Solve for x
    x = 2,449,402.14/1,781.54
  6. Step 6: Final answer
    x = 1,374.88

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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.