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Finding the Fourth Proportional to 14,808.80, 20,422.80 and 9,769.44

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Solution

The fourth proportional to 14,808.80, 20,422.80 and 9,769.44 is: 13,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,808.80 : 20,422.80 = 9,769.44 : x
  2. Step 2: Convert to fraction form
    14,808.80/20,422.80 = 9,769.44/x
  3. Step 3: Cross multiply
    14,808.80x = 20,422.80 × 9,769.44
  4. Step 4: Simplify right side
    14,808.80x = 199,519,319.23
  5. Step 5: Solve for x
    x = 199,519,319.23/14,808.80
  6. Step 6: Final answer
    x = 13,473.02

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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.