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Finding the Fourth Proportional to 8,276.92, 12,438.08 and 4,384.08

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Solution

The fourth proportional to 8,276.92, 12,438.08 and 4,384.08 is: 6,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.92 : 12,438.08 = 4,384.08 : x
  2. Step 2: Convert to fraction form
    8,276.92/12,438.08 = 4,384.08/x
  3. Step 3: Cross multiply
    8,276.92x = 12,438.08 × 4,384.08
  4. Step 4: Simplify right side
    8,276.92x = 54,529,537.77
  5. Step 5: Solve for x
    x = 54,529,537.77/8,276.92
  6. Step 6: Final answer
    x = 6,588.14

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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.