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Finding the Fourth Proportional to 8,492.80, 12,739.20 and 3,875.80

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Solution

The fourth proportional to 8,492.80, 12,739.20 and 3,875.80 is: 5,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.80 : 12,739.20 = 3,875.80 : x
  2. Step 2: Convert to fraction form
    8,492.80/12,739.20 = 3,875.80/x
  3. Step 3: Cross multiply
    8,492.80x = 12,739.20 × 3,875.80
  4. Step 4: Simplify right side
    8,492.80x = 49,374,591.36
  5. Step 5: Solve for x
    x = 49,374,591.36/8,492.80
  6. Step 6: Final answer
    x = 5,813.70

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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.