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Finding the Fourth Proportional to 20,872.80, 31,309.20 and 7,031.52

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Solution

The fourth proportional to 20,872.80, 31,309.20 and 7,031.52 is: 10,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.80 : 31,309.20 = 7,031.52 : x
  2. Step 2: Convert to fraction form
    20,872.80/31,309.20 = 7,031.52/x
  3. Step 3: Cross multiply
    20,872.80x = 31,309.20 × 7,031.52
  4. Step 4: Simplify right side
    20,872.80x = 220,151,265.98
  5. Step 5: Solve for x
    x = 220,151,265.98/20,872.80
  6. Step 6: Final answer
    x = 10,547.28

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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.