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Finding the Fourth Proportional to 8,269.92, 12,405.40 and 2,426

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Solution

The fourth proportional to 8,269.92, 12,405.40 and 2,426 is: 3,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.92 : 12,405.40 = 2,426 : x
  2. Step 2: Convert to fraction form
    8,269.92/12,405.40 = 2,426/x
  3. Step 3: Cross multiply
    8,269.92x = 12,405.40 × 2,426
  4. Step 4: Simplify right side
    8,269.92x = 30,095,500.40
  5. Step 5: Solve for x
    x = 30,095,500.40/8,269.92
  6. Step 6: Final answer
    x = 3,639.15

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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.