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Finding the Fourth Proportional to 3,444.13, 5,166.01 and 978.62

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Solution

The fourth proportional to 3,444.13, 5,166.01 and 978.62 is: 1,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.13 : 5,166.01 = 978.62 : x
  2. Step 2: Convert to fraction form
    3,444.13/5,166.01 = 978.62/x
  3. Step 3: Cross multiply
    3,444.13x = 5,166.01 × 978.62
  4. Step 4: Simplify right side
    3,444.13x = 5,055,565.16
  5. Step 5: Solve for x
    x = 5,055,565.16/3,444.13
  6. Step 6: Final answer
    x = 1,467.88

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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.