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Finding the Fourth Proportional to 3,439.86, 5,159.80 and 1,978.08

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Solution

The fourth proportional to 3,439.86, 5,159.80 and 1,978.08 is: 2,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.86 : 5,159.80 = 1,978.08 : x
  2. Step 2: Convert to fraction form
    3,439.86/5,159.80 = 1,978.08/x
  3. Step 3: Cross multiply
    3,439.86x = 5,159.80 × 1,978.08
  4. Step 4: Simplify right side
    3,439.86x = 10,206,497.18
  5. Step 5: Solve for x
    x = 10,206,497.18/3,439.86
  6. Step 6: Final answer
    x = 2,967.13

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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.