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Finding the Fourth Proportional to 10,638.72, 15,932.16 and 10,327.68

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Solution

The fourth proportional to 10,638.72, 15,932.16 and 10,327.68 is: 15,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.72 : 15,932.16 = 10,327.68 : x
  2. Step 2: Convert to fraction form
    10,638.72/15,932.16 = 10,327.68/x
  3. Step 3: Cross multiply
    10,638.72x = 15,932.16 × 10,327.68
  4. Step 4: Simplify right side
    10,638.72x = 164,542,250.19
  5. Step 5: Solve for x
    x = 164,542,250.19/10,638.72
  6. Step 6: Final answer
    x = 15,466.36

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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.