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Finding the Fourth Proportional to 7,222.68, 9,967.42 and 4,239.32

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Solution

The fourth proportional to 7,222.68, 9,967.42 and 4,239.32 is: 5,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.68 : 9,967.42 = 4,239.32 : x
  2. Step 2: Convert to fraction form
    7,222.68/9,967.42 = 4,239.32/x
  3. Step 3: Cross multiply
    7,222.68x = 9,967.42 × 4,239.32
  4. Step 4: Simplify right side
    7,222.68x = 42,255,082.95
  5. Step 5: Solve for x
    x = 42,255,082.95/7,222.68
  6. Step 6: Final answer
    x = 5,850.33

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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.