Home / 1,471.76-2,206.62-1,242.14

Finding the Fourth Proportional to 1,471.76, 2,206.62 and 1,242.14

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Solution

The fourth proportional to 1,471.76, 2,206.62 and 1,242.14 is: 1,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.76 : 2,206.62 = 1,242.14 : x
  2. Step 2: Convert to fraction form
    1,471.76/2,206.62 = 1,242.14/x
  3. Step 3: Cross multiply
    1,471.76x = 2,206.62 × 1,242.14
  4. Step 4: Simplify right side
    1,471.76x = 2,740,930.97
  5. Step 5: Solve for x
    x = 2,740,930.97/1,471.76
  6. Step 6: Final answer
    x = 1,862.35

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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.