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Finding the Fourth Proportional to 1,246.52, 1,721.04 and 1,026.20

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Solution

The fourth proportional to 1,246.52, 1,721.04 and 1,026.20 is: 1,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.52 : 1,721.04 = 1,026.20 : x
  2. Step 2: Convert to fraction form
    1,246.52/1,721.04 = 1,026.20/x
  3. Step 3: Cross multiply
    1,246.52x = 1,721.04 × 1,026.20
  4. Step 4: Simplify right side
    1,246.52x = 1,766,131.25
  5. Step 5: Solve for x
    x = 1,766,131.25/1,246.52
  6. Step 6: Final answer
    x = 1,416.85

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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.