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Finding the Fourth Proportional to 7,872.57, 11,811.99 and 7,748.17

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Solution

The fourth proportional to 7,872.57, 11,811.99 and 7,748.17 is: 11,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.57 : 11,811.99 = 7,748.17 : x
  2. Step 2: Convert to fraction form
    7,872.57/11,811.99 = 7,748.17/x
  3. Step 3: Cross multiply
    7,872.57x = 11,811.99 × 7,748.17
  4. Step 4: Simplify right side
    7,872.57x = 91,521,306.56
  5. Step 5: Solve for x
    x = 91,521,306.56/7,872.57
  6. Step 6: Final answer
    x = 11,625.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.