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Finding the Fourth Proportional to 20,031.12, 30,047.28 and 6,883.28

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Solution

The fourth proportional to 20,031.12, 30,047.28 and 6,883.28 is: 10,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.12 : 30,047.28 = 6,883.28 : x
  2. Step 2: Convert to fraction form
    20,031.12/30,047.28 = 6,883.28/x
  3. Step 3: Cross multiply
    20,031.12x = 30,047.28 × 6,883.28
  4. Step 4: Simplify right side
    20,031.12x = 206,823,841.48
  5. Step 5: Solve for x
    x = 206,823,841.48/20,031.12
  6. Step 6: Final answer
    x = 10,325.13

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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.