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Finding the Fourth Proportional to 2,441.71, 3,659.49 and 980.05

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Solution

The fourth proportional to 2,441.71, 3,659.49 and 980.05 is: 1,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.71 : 3,659.49 = 980.05 : x
  2. Step 2: Convert to fraction form
    2,441.71/3,659.49 = 980.05/x
  3. Step 3: Cross multiply
    2,441.71x = 3,659.49 × 980.05
  4. Step 4: Simplify right side
    2,441.71x = 3,586,483.17
  5. Step 5: Solve for x
    x = 3,586,483.17/2,441.71
  6. Step 6: Final answer
    x = 1,468.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.