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Finding the Fourth Proportional to 1,518.87, 2,275.71 and 932.10

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Solution

The fourth proportional to 1,518.87, 2,275.71 and 932.10 is: 1,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.87 : 2,275.71 = 932.10 : x
  2. Step 2: Convert to fraction form
    1,518.87/2,275.71 = 932.10/x
  3. Step 3: Cross multiply
    1,518.87x = 2,275.71 × 932.10
  4. Step 4: Simplify right side
    1,518.87x = 2,121,189.29
  5. Step 5: Solve for x
    x = 2,121,189.29/1,518.87
  6. Step 6: Final answer
    x = 1,396.56

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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.