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Finding the Fourth Proportional to 7,243.76, 9,996.38 and 3,931.76

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Solution

The fourth proportional to 7,243.76, 9,996.38 and 3,931.76 is: 5,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.76 : 9,996.38 = 3,931.76 : x
  2. Step 2: Convert to fraction form
    7,243.76/9,996.38 = 3,931.76/x
  3. Step 3: Cross multiply
    7,243.76x = 9,996.38 × 3,931.76
  4. Step 4: Simplify right side
    7,243.76x = 39,303,367.03
  5. Step 5: Solve for x
    x = 39,303,367.03/7,243.76
  6. Step 6: Final answer
    x = 5,425.82

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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.