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Finding the Fourth Proportional to 7,821.20, 11,665.90 and 7,276.88

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Solution

The fourth proportional to 7,821.20, 11,665.90 and 7,276.88 is: 10,854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.20 : 11,665.90 = 7,276.88 : x
  2. Step 2: Convert to fraction form
    7,821.20/11,665.90 = 7,276.88/x
  3. Step 3: Cross multiply
    7,821.20x = 11,665.90 × 7,276.88
  4. Step 4: Simplify right side
    7,821.20x = 84,891,354.39
  5. Step 5: Solve for x
    x = 84,891,354.39/7,821.20
  6. Step 6: Final answer
    x = 10,854.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.