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Finding the Fourth Proportional to 1,862.60, 2,572.11 and 1,200.59

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Solution

The fourth proportional to 1,862.60, 2,572.11 and 1,200.59 is: 1,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.60 : 2,572.11 = 1,200.59 : x
  2. Step 2: Convert to fraction form
    1,862.60/2,572.11 = 1,200.59/x
  3. Step 3: Cross multiply
    1,862.60x = 2,572.11 × 1,200.59
  4. Step 4: Simplify right side
    1,862.60x = 3,088,036.68
  5. Step 5: Solve for x
    x = 3,088,036.68/1,862.60
  6. Step 6: Final answer
    x = 1,657.92

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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.