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Finding the Fourth Proportional to 32,016, 48,031.68 and 10,128

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Solution

The fourth proportional to 32,016, 48,031.68 and 10,128 is: 15,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016 : 48,031.68 = 10,128 : x
  2. Step 2: Convert to fraction form
    32,016/48,031.68 = 10,128/x
  3. Step 3: Cross multiply
    32,016x = 48,031.68 × 10,128
  4. Step 4: Simplify right side
    32,016x = 486,464,855.04
  5. Step 5: Solve for x
    x = 486,464,855.04/32,016
  6. Step 6: Final answer
    x = 15,194.43

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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.