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Finding the Fourth Proportional to 7,671.72, 10,576.26 and 6,488.04

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Solution

The fourth proportional to 7,671.72, 10,576.26 and 6,488.04 is: 8,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.72 : 10,576.26 = 6,488.04 : x
  2. Step 2: Convert to fraction form
    7,671.72/10,576.26 = 6,488.04/x
  3. Step 3: Cross multiply
    7,671.72x = 10,576.26 × 6,488.04
  4. Step 4: Simplify right side
    7,671.72x = 68,619,197.93
  5. Step 5: Solve for x
    x = 68,619,197.93/7,671.72
  6. Step 6: Final answer
    x = 8,944.43

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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.