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Finding the Fourth Proportional to 1,689.66, 2,526.90 and 1,294.44

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Solution

The fourth proportional to 1,689.66, 2,526.90 and 1,294.44 is: 1,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.66 : 2,526.90 = 1,294.44 : x
  2. Step 2: Convert to fraction form
    1,689.66/2,526.90 = 1,294.44/x
  3. Step 3: Cross multiply
    1,689.66x = 2,526.90 × 1,294.44
  4. Step 4: Simplify right side
    1,689.66x = 3,270,920.44
  5. Step 5: Solve for x
    x = 3,270,920.44/1,689.66
  6. Step 6: Final answer
    x = 1,935.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.