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Finding the Fourth Proportional to 3,444.07, 5,166.10 and 978.91

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Solution

The fourth proportional to 3,444.07, 5,166.10 and 978.91 is: 1,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.07 : 5,166.10 = 978.91 : x
  2. Step 2: Convert to fraction form
    3,444.07/5,166.10 = 978.91/x
  3. Step 3: Cross multiply
    3,444.07x = 5,166.10 × 978.91
  4. Step 4: Simplify right side
    3,444.07x = 5,057,146.95
  5. Step 5: Solve for x
    x = 5,057,146.95/3,444.07
  6. Step 6: Final answer
    x = 1,468.36

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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.