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Finding the Fourth Proportional to 8,269.31, 12,391 and 7,031.63

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Solution

The fourth proportional to 8,269.31, 12,391 and 7,031.63 is: 10,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.31 : 12,391 = 7,031.63 : x
  2. Step 2: Convert to fraction form
    8,269.31/12,391 = 7,031.63/x
  3. Step 3: Cross multiply
    8,269.31x = 12,391 × 7,031.63
  4. Step 4: Simplify right side
    8,269.31x = 87,128,927.33
  5. Step 5: Solve for x
    x = 87,128,927.33/8,269.31
  6. Step 6: Final answer
    x = 10,536.42

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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.