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Finding the Fourth Proportional to 3,445.93, 5,168.14 and 980.70

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Solution

The fourth proportional to 3,445.93, 5,168.14 and 980.70 is: 1,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.93 : 5,168.14 = 980.70 : x
  2. Step 2: Convert to fraction form
    3,445.93/5,168.14 = 980.70/x
  3. Step 3: Cross multiply
    3,445.93x = 5,168.14 × 980.70
  4. Step 4: Simplify right side
    3,445.93x = 5,068,394.90
  5. Step 5: Solve for x
    x = 5,068,394.90/3,445.93
  6. Step 6: Final answer
    x = 1,470.84

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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.