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Finding the Fourth Proportional to 8,535.74, 12,880.70 and 8,272.78

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Solution

The fourth proportional to 8,535.74, 12,880.70 and 8,272.78 is: 12,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.74 : 12,880.70 = 8,272.78 : x
  2. Step 2: Convert to fraction form
    8,535.74/12,880.70 = 8,272.78/x
  3. Step 3: Cross multiply
    8,535.74x = 12,880.70 × 8,272.78
  4. Step 4: Simplify right side
    8,535.74x = 106,559,132.94
  5. Step 5: Solve for x
    x = 106,559,132.94/8,535.74
  6. Step 6: Final answer
    x = 12,483.88

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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.