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Finding the Fourth Proportional to 20,902.94, 31,347.12 and 9,209.78

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Solution

The fourth proportional to 20,902.94, 31,347.12 and 9,209.78 is: 13,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.94 : 31,347.12 = 9,209.78 : x
  2. Step 2: Convert to fraction form
    20,902.94/31,347.12 = 9,209.78/x
  3. Step 3: Cross multiply
    20,902.94x = 31,347.12 × 9,209.78
  4. Step 4: Simplify right side
    20,902.94x = 288,700,157.20
  5. Step 5: Solve for x
    x = 288,700,157.20/20,902.94
  6. Step 6: Final answer
    x = 13,811.46

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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.