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Finding the Fourth Proportional to 7,823.20, 11,668.88 and 7,278.88

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Solution

The fourth proportional to 7,823.20, 11,668.88 and 7,278.88 is: 10,856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.20 : 11,668.88 = 7,278.88 : x
  2. Step 2: Convert to fraction form
    7,823.20/11,668.88 = 7,278.88/x
  3. Step 3: Cross multiply
    7,823.20x = 11,668.88 × 7,278.88
  4. Step 4: Simplify right side
    7,823.20x = 84,936,377.25
  5. Step 5: Solve for x
    x = 84,936,377.25/7,823.20
  6. Step 6: Final answer
    x = 10,856.99

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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.