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Finding the Fourth Proportional to 7,222.88, 9,967.28 and 4,239.20

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Solution

The fourth proportional to 7,222.88, 9,967.28 and 4,239.20 is: 5,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.88 : 9,967.28 = 4,239.20 : x
  2. Step 2: Convert to fraction form
    7,222.88/9,967.28 = 4,239.20/x
  3. Step 3: Cross multiply
    7,222.88x = 9,967.28 × 4,239.20
  4. Step 4: Simplify right side
    7,222.88x = 42,253,293.38
  5. Step 5: Solve for x
    x = 42,253,293.38/7,222.88
  6. Step 6: Final answer
    x = 5,849.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.