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Finding the Fourth Proportional to 3,470.12, 4,788.64 and 1,978.04

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Solution

The fourth proportional to 3,470.12, 4,788.64 and 1,978.04 is: 2,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.12 : 4,788.64 = 1,978.04 : x
  2. Step 2: Convert to fraction form
    3,470.12/4,788.64 = 1,978.04/x
  3. Step 3: Cross multiply
    3,470.12x = 4,788.64 × 1,978.04
  4. Step 4: Simplify right side
    3,470.12x = 9,472,121.47
  5. Step 5: Solve for x
    x = 9,472,121.47/3,470.12
  6. Step 6: Final answer
    x = 2,729.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.