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Finding the Fourth Proportional to 8,402.66, 12,602.91 and 2,855.78

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Solution

The fourth proportional to 8,402.66, 12,602.91 and 2,855.78 is: 4,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.66 : 12,602.91 = 2,855.78 : x
  2. Step 2: Convert to fraction form
    8,402.66/12,602.91 = 2,855.78/x
  3. Step 3: Cross multiply
    8,402.66x = 12,602.91 × 2,855.78
  4. Step 4: Simplify right side
    8,402.66x = 35,991,138.32
  5. Step 5: Solve for x
    x = 35,991,138.32/8,402.66
  6. Step 6: Final answer
    x = 4,283.30

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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.