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Finding the Fourth Proportional to 5,438.80, 8,151.72 and 2,973.16

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Solution

The fourth proportional to 5,438.80, 8,151.72 and 2,973.16 is: 4,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.80 : 8,151.72 = 2,973.16 : x
  2. Step 2: Convert to fraction form
    5,438.80/8,151.72 = 2,973.16/x
  3. Step 3: Cross multiply
    5,438.80x = 8,151.72 × 2,973.16
  4. Step 4: Simplify right side
    5,438.80x = 24,236,367.84
  5. Step 5: Solve for x
    x = 24,236,367.84/5,438.80
  6. Step 6: Final answer
    x = 4,456.20

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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.