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Finding the Fourth Proportional to 7,899.36, 11,901.66 and 7,149.84

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Solution

The fourth proportional to 7,899.36, 11,901.66 and 7,149.84 is: 10,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.36 : 11,901.66 = 7,149.84 : x
  2. Step 2: Convert to fraction form
    7,899.36/11,901.66 = 7,149.84/x
  3. Step 3: Cross multiply
    7,899.36x = 11,901.66 × 7,149.84
  4. Step 4: Simplify right side
    7,899.36x = 85,094,964.73
  5. Step 5: Solve for x
    x = 85,094,964.73/7,899.36
  6. Step 6: Final answer
    x = 10,772.39

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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.