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Finding the Fourth Proportional to 2,862.25, 4,292.92 and 782.43

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Solution

The fourth proportional to 2,862.25, 4,292.92 and 782.43 is: 1,173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.25 : 4,292.92 = 782.43 : x
  2. Step 2: Convert to fraction form
    2,862.25/4,292.92 = 782.43/x
  3. Step 3: Cross multiply
    2,862.25x = 4,292.92 × 782.43
  4. Step 4: Simplify right side
    2,862.25x = 3,358,909.40
  5. Step 5: Solve for x
    x = 3,358,909.40/2,862.25
  6. Step 6: Final answer
    x = 1,173.52

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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.