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Finding the Fourth Proportional to 1,562.80, 2,158.50 and 1,249.15

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Solution

The fourth proportional to 1,562.80, 2,158.50 and 1,249.15 is: 1,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.80 : 2,158.50 = 1,249.15 : x
  2. Step 2: Convert to fraction form
    1,562.80/2,158.50 = 1,249.15/x
  3. Step 3: Cross multiply
    1,562.80x = 2,158.50 × 1,249.15
  4. Step 4: Simplify right side
    1,562.80x = 2,696,290.28
  5. Step 5: Solve for x
    x = 2,696,290.28/1,562.80
  6. Step 6: Final answer
    x = 1,725.29

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