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Finding the Fourth Proportional to 1,521.62, 2,098.76 and 1,470.82

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Solution

The fourth proportional to 1,521.62, 2,098.76 and 1,470.82 is: 2,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.62 : 2,098.76 = 1,470.82 : x
  2. Step 2: Convert to fraction form
    1,521.62/2,098.76 = 1,470.82/x
  3. Step 3: Cross multiply
    1,521.62x = 2,098.76 × 1,470.82
  4. Step 4: Simplify right side
    1,521.62x = 3,086,898.18
  5. Step 5: Solve for x
    x = 3,086,898.18/1,521.62
  6. Step 6: Final answer
    x = 2,028.69

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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.