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Finding the Fourth Proportional to 14,720.80, 22,081.20 and 7,808.80

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Solution

The fourth proportional to 14,720.80, 22,081.20 and 7,808.80 is: 11,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,720.80 : 22,081.20 = 7,808.80 : x
  2. Step 2: Convert to fraction form
    14,720.80/22,081.20 = 7,808.80/x
  3. Step 3: Cross multiply
    14,720.80x = 22,081.20 × 7,808.80
  4. Step 4: Simplify right side
    14,720.80x = 172,427,674.56
  5. Step 5: Solve for x
    x = 172,427,674.56/14,720.80
  6. Step 6: Final answer
    x = 11,713.20

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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.