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Finding the Fourth Proportional to 20,777.40, 31,146.84 and 8,294.40

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Solution

The fourth proportional to 20,777.40, 31,146.84 and 8,294.40 is: 12,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.40 : 31,146.84 = 8,294.40 : x
  2. Step 2: Convert to fraction form
    20,777.40/31,146.84 = 8,294.40/x
  3. Step 3: Cross multiply
    20,777.40x = 31,146.84 × 8,294.40
  4. Step 4: Simplify right side
    20,777.40x = 258,344,349.70
  5. Step 5: Solve for x
    x = 258,344,349.70/20,777.40
  6. Step 6: Final answer
    x = 12,433.91

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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.