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Finding the Fourth Proportional to 4,978.60, 7,470.47 and 2,207.18

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Solution

The fourth proportional to 4,978.60, 7,470.47 and 2,207.18 is: 3,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.60 : 7,470.47 = 2,207.18 : x
  2. Step 2: Convert to fraction form
    4,978.60/7,470.47 = 2,207.18/x
  3. Step 3: Cross multiply
    4,978.60x = 7,470.47 × 2,207.18
  4. Step 4: Simplify right side
    4,978.60x = 16,488,696.17
  5. Step 5: Solve for x
    x = 16,488,696.17/4,978.60
  6. Step 6: Final answer
    x = 3,311.92

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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.