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Finding the Fourth Proportional to 7,211.68, 9,947.28 and 5,644.96

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Solution

The fourth proportional to 7,211.68, 9,947.28 and 5,644.96 is: 7,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.68 : 9,947.28 = 5,644.96 : x
  2. Step 2: Convert to fraction form
    7,211.68/9,947.28 = 5,644.96/x
  3. Step 3: Cross multiply
    7,211.68x = 9,947.28 × 5,644.96
  4. Step 4: Simplify right side
    7,211.68x = 56,151,997.71
  5. Step 5: Solve for x
    x = 56,151,997.71/7,211.68
  6. Step 6: Final answer
    x = 7,786.26

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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.