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Finding the Fourth Proportional to 20,882.81, 31,329.15 and 7,031.81

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Solution

The fourth proportional to 20,882.81, 31,329.15 and 7,031.81 is: 10,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.81 : 31,329.15 = 7,031.81 : x
  2. Step 2: Convert to fraction form
    20,882.81/31,329.15 = 7,031.81/x
  3. Step 3: Cross multiply
    20,882.81x = 31,329.15 × 7,031.81
  4. Step 4: Simplify right side
    20,882.81x = 220,300,682.22
  5. Step 5: Solve for x
    x = 220,300,682.22/20,882.81
  6. Step 6: Final answer
    x = 10,549.38

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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.