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Finding the Fourth Proportional to 8,362.39, 12,534.80 and 2,813.81

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Solution

The fourth proportional to 8,362.39, 12,534.80 and 2,813.81 is: 4,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.39 : 12,534.80 = 2,813.81 : x
  2. Step 2: Convert to fraction form
    8,362.39/12,534.80 = 2,813.81/x
  3. Step 3: Cross multiply
    8,362.39x = 12,534.80 × 2,813.81
  4. Step 4: Simplify right side
    8,362.39x = 35,270,482.91
  5. Step 5: Solve for x
    x = 35,270,482.91/8,362.39
  6. Step 6: Final answer
    x = 4,217.75

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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.