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Finding the Fourth Proportional to 28,016, 42,031.20 and 10,486.08

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Solution

The fourth proportional to 28,016, 42,031.20 and 10,486.08 is: 15,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,016 : 42,031.20 = 10,486.08 : x
  2. Step 2: Convert to fraction form
    28,016/42,031.20 = 10,486.08/x
  3. Step 3: Cross multiply
    28,016x = 42,031.20 × 10,486.08
  4. Step 4: Simplify right side
    28,016x = 440,742,525.70
  5. Step 5: Solve for x
    x = 440,742,525.70/28,016
  6. Step 6: Final answer
    x = 15,731.81

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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.