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Finding the Fourth Proportional to 1,521.93, 2,100.28 and 892.47

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Solution

The fourth proportional to 1,521.93, 2,100.28 and 892.47 is: 1,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.93 : 2,100.28 = 892.47 : x
  2. Step 2: Convert to fraction form
    1,521.93/2,100.28 = 892.47/x
  3. Step 3: Cross multiply
    1,521.93x = 2,100.28 × 892.47
  4. Step 4: Simplify right side
    1,521.93x = 1,874,434.66
  5. Step 5: Solve for x
    x = 1,874,434.66/1,521.93
  6. Step 6: Final answer
    x = 1,231.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.