Home / 1,947.18-2,920.24-560.14

Finding the Fourth Proportional to 1,947.18, 2,920.24 and 560.14

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Solution

The fourth proportional to 1,947.18, 2,920.24 and 560.14 is: 840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.18 : 2,920.24 = 560.14 : x
  2. Step 2: Convert to fraction form
    1,947.18/2,920.24 = 560.14/x
  3. Step 3: Cross multiply
    1,947.18x = 2,920.24 × 560.14
  4. Step 4: Simplify right side
    1,947.18x = 1,635,743.23
  5. Step 5: Solve for x
    x = 1,635,743.23/1,947.18
  6. Step 6: Final answer
    x = 840.06

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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.