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Finding the Fourth Proportional to 8,961.84, 12,378.96 and 7,715.52

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Solution

The fourth proportional to 8,961.84, 12,378.96 and 7,715.52 is: 10,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.84 : 12,378.96 = 7,715.52 : x
  2. Step 2: Convert to fraction form
    8,961.84/12,378.96 = 7,715.52/x
  3. Step 3: Cross multiply
    8,961.84x = 12,378.96 × 7,715.52
  4. Step 4: Simplify right side
    8,961.84x = 95,510,113.46
  5. Step 5: Solve for x
    x = 95,510,113.46/8,961.84
  6. Step 6: Final answer
    x = 10,657.42

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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.