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Finding the Fourth Proportional to 9,338.40, 14,071.68 and 7,731.12

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Solution

The fourth proportional to 9,338.40, 14,071.68 and 7,731.12 is: 11,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.40 : 14,071.68 = 7,731.12 : x
  2. Step 2: Convert to fraction form
    9,338.40/14,071.68 = 7,731.12/x
  3. Step 3: Cross multiply
    9,338.40x = 14,071.68 × 7,731.12
  4. Step 4: Simplify right side
    9,338.40x = 108,789,846.68
  5. Step 5: Solve for x
    x = 108,789,846.68/9,338.40
  6. Step 6: Final answer
    x = 11,649.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.