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Finding the Fourth Proportional to 1,411.65, 2,119.10 and 980.73

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Solution

The fourth proportional to 1,411.65, 2,119.10 and 980.73 is: 1,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.65 : 2,119.10 = 980.73 : x
  2. Step 2: Convert to fraction form
    1,411.65/2,119.10 = 980.73/x
  3. Step 3: Cross multiply
    1,411.65x = 2,119.10 × 980.73
  4. Step 4: Simplify right side
    1,411.65x = 2,078,260.04
  5. Step 5: Solve for x
    x = 2,078,260.04/1,411.65
  6. Step 6: Final answer
    x = 1,472.22

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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.