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Finding the Fourth Proportional to 8,649.60, 12,974.88 and 2,806.72

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Solution

The fourth proportional to 8,649.60, 12,974.88 and 2,806.72 is: 4,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.60 : 12,974.88 = 2,806.72 : x
  2. Step 2: Convert to fraction form
    8,649.60/12,974.88 = 2,806.72/x
  3. Step 3: Cross multiply
    8,649.60x = 12,974.88 × 2,806.72
  4. Step 4: Simplify right side
    8,649.60x = 36,416,855.19
  5. Step 5: Solve for x
    x = 36,416,855.19/8,649.60
  6. Step 6: Final answer
    x = 4,210.24

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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.