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Finding the Fourth Proportional to 3,577.14, 5,365.98 and 980.07

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Solution

The fourth proportional to 3,577.14, 5,365.98 and 980.07 is: 1,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.14 : 5,365.98 = 980.07 : x
  2. Step 2: Convert to fraction form
    3,577.14/5,365.98 = 980.07/x
  3. Step 3: Cross multiply
    3,577.14x = 5,365.98 × 980.07
  4. Step 4: Simplify right side
    3,577.14x = 5,259,036.02
  5. Step 5: Solve for x
    x = 5,259,036.02/3,577.14
  6. Step 6: Final answer
    x = 1,470.18

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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.