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Finding the Fourth Proportional to 8,535.70, 12,811.65 and 5,255.20

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Solution

The fourth proportional to 8,535.70, 12,811.65 and 5,255.20 is: 7,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.70 : 12,811.65 = 5,255.20 : x
  2. Step 2: Convert to fraction form
    8,535.70/12,811.65 = 5,255.20/x
  3. Step 3: Cross multiply
    8,535.70x = 12,811.65 × 5,255.20
  4. Step 4: Simplify right side
    8,535.70x = 67,327,783.08
  5. Step 5: Solve for x
    x = 67,327,783.08/8,535.70
  6. Step 6: Final answer
    x = 7,887.79

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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.