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Finding the Fourth Proportional to 3,294.70, 4,939.18 and 1,345.66

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Solution

The fourth proportional to 3,294.70, 4,939.18 and 1,345.66 is: 2,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.70 : 4,939.18 = 1,345.66 : x
  2. Step 2: Convert to fraction form
    3,294.70/4,939.18 = 1,345.66/x
  3. Step 3: Cross multiply
    3,294.70x = 4,939.18 × 1,345.66
  4. Step 4: Simplify right side
    3,294.70x = 6,646,456.96
  5. Step 5: Solve for x
    x = 6,646,456.96/3,294.70
  6. Step 6: Final answer
    x = 2,017.32

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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.