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Finding the Fourth Proportional to 7,206.17, 9,947.00 and 4,222.97

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Solution

The fourth proportional to 7,206.17, 9,947.00 and 4,222.97 is: 5,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.17 : 9,947.00 = 4,222.97 : x
  2. Step 2: Convert to fraction form
    7,206.17/9,947.00 = 4,222.97/x
  3. Step 3: Cross multiply
    7,206.17x = 9,947.00 × 4,222.97
  4. Step 4: Simplify right side
    7,206.17x = 42,005,861.48
  5. Step 5: Solve for x
    x = 42,005,861.48/7,206.17
  6. Step 6: Final answer
    x = 5,829.15

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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.