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Finding the Fourth Proportional to 1,500.76, 2,247.42 and 1,039

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Solution

The fourth proportional to 1,500.76, 2,247.42 and 1,039 is: 1,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.76 : 2,247.42 = 1,039 : x
  2. Step 2: Convert to fraction form
    1,500.76/2,247.42 = 1,039/x
  3. Step 3: Cross multiply
    1,500.76x = 2,247.42 × 1,039
  4. Step 4: Simplify right side
    1,500.76x = 2,335,069.38
  5. Step 5: Solve for x
    x = 2,335,069.38/1,500.76
  6. Step 6: Final answer
    x = 1,555.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.