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Finding the Fourth Proportional to 22,031.80, 32,980.20 and 12,140.80

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Solution

The fourth proportional to 22,031.80, 32,980.20 and 12,140.80 is: 18,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031.80 : 32,980.20 = 12,140.80 : x
  2. Step 2: Convert to fraction form
    22,031.80/32,980.20 = 12,140.80/x
  3. Step 3: Cross multiply
    22,031.80x = 32,980.20 × 12,140.80
  4. Step 4: Simplify right side
    22,031.80x = 400,406,012.16
  5. Step 5: Solve for x
    x = 400,406,012.16/22,031.80
  6. Step 6: Final answer
    x = 18,174.00

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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.