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Finding the Fourth Proportional to 7,620.80, 11,493.44 and 7,275.20

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Solution

The fourth proportional to 7,620.80, 11,493.44 and 7,275.20 is: 10,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.80 : 11,493.44 = 7,275.20 : x
  2. Step 2: Convert to fraction form
    7,620.80/11,493.44 = 7,275.20/x
  3. Step 3: Cross multiply
    7,620.80x = 11,493.44 × 7,275.20
  4. Step 4: Simplify right side
    7,620.80x = 83,617,074.69
  5. Step 5: Solve for x
    x = 83,617,074.69/7,620.80
  6. Step 6: Final answer
    x = 10,972.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.