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Finding the Fourth Proportional to 2,672.80, 4,006.48 and 1,807.20

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Solution

The fourth proportional to 2,672.80, 4,006.48 and 1,807.20 is: 2,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.80 : 4,006.48 = 1,807.20 : x
  2. Step 2: Convert to fraction form
    2,672.80/4,006.48 = 1,807.20/x
  3. Step 3: Cross multiply
    2,672.80x = 4,006.48 × 1,807.20
  4. Step 4: Simplify right side
    2,672.80x = 7,240,510.66
  5. Step 5: Solve for x
    x = 7,240,510.66/2,672.80
  6. Step 6: Final answer
    x = 2,708.96

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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.