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Finding the Fourth Proportional to 1,916.95, 2,876.17 and 747.06

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Solution

The fourth proportional to 1,916.95, 2,876.17 and 747.06 is: 1,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.95 : 2,876.17 = 747.06 : x
  2. Step 2: Convert to fraction form
    1,916.95/2,876.17 = 747.06/x
  3. Step 3: Cross multiply
    1,916.95x = 2,876.17 × 747.06
  4. Step 4: Simplify right side
    1,916.95x = 2,148,671.56
  5. Step 5: Solve for x
    x = 2,148,671.56/1,916.95
  6. Step 6: Final answer
    x = 1,120.88

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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.