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Finding the Fourth Proportional to 3,577.16, 5,364.92 and 980.30

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Solution

The fourth proportional to 3,577.16, 5,364.92 and 980.30 is: 1,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.16 : 5,364.92 = 980.30 : x
  2. Step 2: Convert to fraction form
    3,577.16/5,364.92 = 980.30/x
  3. Step 3: Cross multiply
    3,577.16x = 5,364.92 × 980.30
  4. Step 4: Simplify right side
    3,577.16x = 5,259,231.08
  5. Step 5: Solve for x
    x = 5,259,231.08/3,577.16
  6. Step 6: Final answer
    x = 1,470.23

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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.