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Finding the Fourth Proportional to 1,693.68, 2,531.82 and 1,304.88

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Solution

The fourth proportional to 1,693.68, 2,531.82 and 1,304.88 is: 1,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.68 : 2,531.82 = 1,304.88 : x
  2. Step 2: Convert to fraction form
    1,693.68/2,531.82 = 1,304.88/x
  3. Step 3: Cross multiply
    1,693.68x = 2,531.82 × 1,304.88
  4. Step 4: Simplify right side
    1,693.68x = 3,303,721.28
  5. Step 5: Solve for x
    x = 3,303,721.28/1,693.68
  6. Step 6: Final answer
    x = 1,950.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.