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Finding the Fourth Proportional to 6,471.20, 9,703.20 and 2,772.80

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Solution

The fourth proportional to 6,471.20, 9,703.20 and 2,772.80 is: 4,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.20 : 9,703.20 = 2,772.80 : x
  2. Step 2: Convert to fraction form
    6,471.20/9,703.20 = 2,772.80/x
  3. Step 3: Cross multiply
    6,471.20x = 9,703.20 × 2,772.80
  4. Step 4: Simplify right side
    6,471.20x = 26,905,032.96
  5. Step 5: Solve for x
    x = 26,905,032.96/6,471.20
  6. Step 6: Final answer
    x = 4,157.66

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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.