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Finding the Fourth Proportional to 2,691.53, 4,038.13 and 842.83

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Solution

The fourth proportional to 2,691.53, 4,038.13 and 842.83 is: 1,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.53 : 4,038.13 = 842.83 : x
  2. Step 2: Convert to fraction form
    2,691.53/4,038.13 = 842.83/x
  3. Step 3: Cross multiply
    2,691.53x = 4,038.13 × 842.83
  4. Step 4: Simplify right side
    2,691.53x = 3,403,457.05
  5. Step 5: Solve for x
    x = 3,403,457.05/2,691.53
  6. Step 6: Final answer
    x = 1,264.51

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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.