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Finding the Fourth Proportional to 7,956.50, 10,989.88 and 5,609.12

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Solution

The fourth proportional to 7,956.50, 10,989.88 and 5,609.12 is: 7,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.50 : 10,989.88 = 5,609.12 : x
  2. Step 2: Convert to fraction form
    7,956.50/10,989.88 = 5,609.12/x
  3. Step 3: Cross multiply
    7,956.50x = 10,989.88 × 5,609.12
  4. Step 4: Simplify right side
    7,956.50x = 61,643,486.73
  5. Step 5: Solve for x
    x = 61,643,486.73/7,956.50
  6. Step 6: Final answer
    x = 7,747.57

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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.