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Finding the Fourth Proportional to 3,577.12, 5,365.50 and 980.08

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Solution

The fourth proportional to 3,577.12, 5,365.50 and 980.08 is: 1,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.12 : 5,365.50 = 980.08 : x
  2. Step 2: Convert to fraction form
    3,577.12/5,365.50 = 980.08/x
  3. Step 3: Cross multiply
    3,577.12x = 5,365.50 × 980.08
  4. Step 4: Simplify right side
    3,577.12x = 5,258,619.24
  5. Step 5: Solve for x
    x = 5,258,619.24/3,577.12
  6. Step 6: Final answer
    x = 1,470.07

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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.