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Finding the Fourth Proportional to 20,987.81, 31,481.78 and 8,508.08

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Solution

The fourth proportional to 20,987.81, 31,481.78 and 8,508.08 is: 12,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,987.81 : 31,481.78 = 8,508.08 : x
  2. Step 2: Convert to fraction form
    20,987.81/31,481.78 = 8,508.08/x
  3. Step 3: Cross multiply
    20,987.81x = 31,481.78 × 8,508.08
  4. Step 4: Simplify right side
    20,987.81x = 267,849,302.83
  5. Step 5: Solve for x
    x = 267,849,302.83/20,987.81
  6. Step 6: Final answer
    x = 12,762.14

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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.