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Finding the Fourth Proportional to 7,211.70, 9,965.70 and 5,440.32

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Solution

The fourth proportional to 7,211.70, 9,965.70 and 5,440.32 is: 7,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.70 : 9,965.70 = 5,440.32 : x
  2. Step 2: Convert to fraction form
    7,211.70/9,965.70 = 5,440.32/x
  3. Step 3: Cross multiply
    7,211.70x = 9,965.70 × 5,440.32
  4. Step 4: Simplify right side
    7,211.70x = 54,216,597.02
  5. Step 5: Solve for x
    x = 54,216,597.02/7,211.70
  6. Step 6: Final answer
    x = 7,517.87

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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.