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Finding the Fourth Proportional to 8,602.85, 12,899.12 and 2,978.66

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Solution

The fourth proportional to 8,602.85, 12,899.12 and 2,978.66 is: 4,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.85 : 12,899.12 = 2,978.66 : x
  2. Step 2: Convert to fraction form
    8,602.85/12,899.12 = 2,978.66/x
  3. Step 3: Cross multiply
    8,602.85x = 12,899.12 × 2,978.66
  4. Step 4: Simplify right side
    8,602.85x = 38,422,013.39
  5. Step 5: Solve for x
    x = 38,422,013.39/8,602.85
  6. Step 6: Final answer
    x = 4,466.20

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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.