Home / 6,080-9,123.59-2,569.78

Finding the Fourth Proportional to 6,080, 9,123.59 and 2,569.78

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Solution

The fourth proportional to 6,080, 9,123.59 and 2,569.78 is: 3,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080 : 9,123.59 = 2,569.78 : x
  2. Step 2: Convert to fraction form
    6,080/9,123.59 = 2,569.78/x
  3. Step 3: Cross multiply
    6,080x = 9,123.59 × 2,569.78
  4. Step 4: Simplify right side
    6,080x = 23,445,619.11
  5. Step 5: Solve for x
    x = 23,445,619.11/6,080
  6. Step 6: Final answer
    x = 3,856.19

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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.