Home / 1,560.47-2,338.27-982.13

Finding the Fourth Proportional to 1,560.47, 2,338.27 and 982.13

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Solution

The fourth proportional to 1,560.47, 2,338.27 and 982.13 is: 1,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.47 : 2,338.27 = 982.13 : x
  2. Step 2: Convert to fraction form
    1,560.47/2,338.27 = 982.13/x
  3. Step 3: Cross multiply
    1,560.47x = 2,338.27 × 982.13
  4. Step 4: Simplify right side
    1,560.47x = 2,296,470.97
  5. Step 5: Solve for x
    x = 2,296,470.97/1,560.47
  6. Step 6: Final answer
    x = 1,471.66

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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.