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Finding the Fourth Proportional to 1,862.96, 2,794.43 and 752.87

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Solution

The fourth proportional to 1,862.96, 2,794.43 and 752.87 is: 1,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.96 : 2,794.43 = 752.87 : x
  2. Step 2: Convert to fraction form
    1,862.96/2,794.43 = 752.87/x
  3. Step 3: Cross multiply
    1,862.96x = 2,794.43 × 752.87
  4. Step 4: Simplify right side
    1,862.96x = 2,103,851.38
  5. Step 5: Solve for x
    x = 2,103,851.38/1,862.96
  6. Step 6: Final answer
    x = 1,129.31

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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.