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Finding the Fourth Proportional to 7,221.66, 9,966.95 and 4,239.14

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Solution

The fourth proportional to 7,221.66, 9,966.95 and 4,239.14 is: 5,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.66 : 9,966.95 = 4,239.14 : x
  2. Step 2: Convert to fraction form
    7,221.66/9,966.95 = 4,239.14/x
  3. Step 3: Cross multiply
    7,221.66x = 9,966.95 × 4,239.14
  4. Step 4: Simplify right side
    7,221.66x = 42,251,241.29
  5. Step 5: Solve for x
    x = 42,251,241.29/7,221.66
  6. Step 6: Final answer
    x = 5,850.63

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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.