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Finding the Fourth Proportional to 2,288.70, 3,158.42 and 1,240.76

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Solution

The fourth proportional to 2,288.70, 3,158.42 and 1,240.76 is: 1,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.70 : 3,158.42 = 1,240.76 : x
  2. Step 2: Convert to fraction form
    2,288.70/3,158.42 = 1,240.76/x
  3. Step 3: Cross multiply
    2,288.70x = 3,158.42 × 1,240.76
  4. Step 4: Simplify right side
    2,288.70x = 3,918,841.20
  5. Step 5: Solve for x
    x = 3,918,841.20/2,288.70
  6. Step 6: Final answer
    x = 1,712.26

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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.