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Finding the Fourth Proportional to 8,544, 12,809.76 and 5,763.76

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Solution

The fourth proportional to 8,544, 12,809.76 and 5,763.76 is: 8,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544 : 12,809.76 = 5,763.76 : x
  2. Step 2: Convert to fraction form
    8,544/12,809.76 = 5,763.76/x
  3. Step 3: Cross multiply
    8,544x = 12,809.76 × 5,763.76
  4. Step 4: Simplify right side
    8,544x = 73,832,382.30
  5. Step 5: Solve for x
    x = 73,832,382.30/8,544
  6. Step 6: Final answer
    x = 8,641.43

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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.