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Finding the Fourth Proportional to 6,480.72, 9,719.40 and 2,785.20

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Solution

The fourth proportional to 6,480.72, 9,719.40 and 2,785.20 is: 4,177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.72 : 9,719.40 = 2,785.20 : x
  2. Step 2: Convert to fraction form
    6,480.72/9,719.40 = 2,785.20/x
  3. Step 3: Cross multiply
    6,480.72x = 9,719.40 × 2,785.20
  4. Step 4: Simplify right side
    6,480.72x = 27,070,472.88
  5. Step 5: Solve for x
    x = 27,070,472.88/6,480.72
  6. Step 6: Final answer
    x = 4,177.08

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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.