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Finding the Fourth Proportional to 3,456.59, 5,185.17 and 1,264.79

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Solution

The fourth proportional to 3,456.59, 5,185.17 and 1,264.79 is: 1,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.59 : 5,185.17 = 1,264.79 : x
  2. Step 2: Convert to fraction form
    3,456.59/5,185.17 = 1,264.79/x
  3. Step 3: Cross multiply
    3,456.59x = 5,185.17 × 1,264.79
  4. Step 4: Simplify right side
    3,456.59x = 6,558,125.24
  5. Step 5: Solve for x
    x = 6,558,125.24/3,456.59
  6. Step 6: Final answer
    x = 1,897.28

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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.