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Finding the Fourth Proportional to 7,706.44, 10,638.82 and 5,344.48

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Solution

The fourth proportional to 7,706.44, 10,638.82 and 5,344.48 is: 7,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.44 : 10,638.82 = 5,344.48 : x
  2. Step 2: Convert to fraction form
    7,706.44/10,638.82 = 5,344.48/x
  3. Step 3: Cross multiply
    7,706.44x = 10,638.82 × 5,344.48
  4. Step 4: Simplify right side
    7,706.44x = 56,858,960.71
  5. Step 5: Solve for x
    x = 56,858,960.71/7,706.44
  6. Step 6: Final answer
    x = 7,378.11

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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.