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Finding the Fourth Proportional to 28,191.20, 42,291 and 9,209.84

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Solution

The fourth proportional to 28,191.20, 42,291 and 9,209.84 is: 13,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,191.20 : 42,291 = 9,209.84 : x
  2. Step 2: Convert to fraction form
    28,191.20/42,291 = 9,209.84/x
  3. Step 3: Cross multiply
    28,191.20x = 42,291 × 9,209.84
  4. Step 4: Simplify right side
    28,191.20x = 389,493,131.99
  5. Step 5: Solve for x
    x = 389,493,131.99/28,191.20
  6. Step 6: Final answer
    x = 13,816.13

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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.