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Finding the Fourth Proportional to 8,276, 12,402.36 and 6,418.48

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Solution

The fourth proportional to 8,276, 12,402.36 and 6,418.48 is: 9,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276 : 12,402.36 = 6,418.48 : x
  2. Step 2: Convert to fraction form
    8,276/12,402.36 = 6,418.48/x
  3. Step 3: Cross multiply
    8,276x = 12,402.36 × 6,418.48
  4. Step 4: Simplify right side
    8,276x = 79,604,299.61
  5. Step 5: Solve for x
    x = 79,604,299.61/8,276
  6. Step 6: Final answer
    x = 9,618.69

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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.