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Finding the Fourth Proportional to 15,200.80, 20,977.44 and 9,231.52

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Solution

The fourth proportional to 15,200.80, 20,977.44 and 9,231.52 is: 12,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.80 : 20,977.44 = 9,231.52 : x
  2. Step 2: Convert to fraction form
    15,200.80/20,977.44 = 9,231.52/x
  3. Step 3: Cross multiply
    15,200.80x = 20,977.44 × 9,231.52
  4. Step 4: Simplify right side
    15,200.80x = 193,653,656.91
  5. Step 5: Solve for x
    x = 193,653,656.91/15,200.80
  6. Step 6: Final answer
    x = 12,739.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.