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Finding the Fourth Proportional to 7,961.84, 10,902.40 and 7,648.14

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Solution

The fourth proportional to 7,961.84, 10,902.40 and 7,648.14 is: 10,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.84 : 10,902.40 = 7,648.14 : x
  2. Step 2: Convert to fraction form
    7,961.84/10,902.40 = 7,648.14/x
  3. Step 3: Cross multiply
    7,961.84x = 10,902.40 × 7,648.14
  4. Step 4: Simplify right side
    7,961.84x = 83,383,081.54
  5. Step 5: Solve for x
    x = 83,383,081.54/7,961.84
  6. Step 6: Final answer
    x = 10,472.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.