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Finding the Fourth Proportional to 3,023.97, 4,538 and 1,151.52

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Solution

The fourth proportional to 3,023.97, 4,538 and 1,151.52 is: 1,728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.97 : 4,538 = 1,151.52 : x
  2. Step 2: Convert to fraction form
    3,023.97/4,538 = 1,151.52/x
  3. Step 3: Cross multiply
    3,023.97x = 4,538 × 1,151.52
  4. Step 4: Simplify right side
    3,023.97x = 5,225,597.76
  5. Step 5: Solve for x
    x = 5,225,597.76/3,023.97
  6. Step 6: Final answer
    x = 1,728.06

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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.