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Finding the Fourth Proportional to 3,577.40, 5,365.80 and 980.52

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Solution

The fourth proportional to 3,577.40, 5,365.80 and 980.52 is: 1,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.40 : 5,365.80 = 980.52 : x
  2. Step 2: Convert to fraction form
    3,577.40/5,365.80 = 980.52/x
  3. Step 3: Cross multiply
    3,577.40x = 5,365.80 × 980.52
  4. Step 4: Simplify right side
    3,577.40x = 5,261,274.22
  5. Step 5: Solve for x
    x = 5,261,274.22/3,577.40
  6. Step 6: Final answer
    x = 1,470.70

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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.