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Finding the Fourth Proportional to 1,862.50, 2,575.05 and 1,780.90

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Solution

The fourth proportional to 1,862.50, 2,575.05 and 1,780.90 is: 2,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.50 : 2,575.05 = 1,780.90 : x
  2. Step 2: Convert to fraction form
    1,862.50/2,575.05 = 1,780.90/x
  3. Step 3: Cross multiply
    1,862.50x = 2,575.05 × 1,780.90
  4. Step 4: Simplify right side
    1,862.50x = 4,585,906.55
  5. Step 5: Solve for x
    x = 4,585,906.55/1,862.50
  6. Step 6: Final answer
    x = 2,462.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.