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Finding the Fourth Proportional to 8,978.12, 13,466.82 and 3,434.12

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Solution

The fourth proportional to 8,978.12, 13,466.82 and 3,434.12 is: 5,151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.12 : 13,466.82 = 3,434.12 : x
  2. Step 2: Convert to fraction form
    8,978.12/13,466.82 = 3,434.12/x
  3. Step 3: Cross multiply
    8,978.12x = 13,466.82 × 3,434.12
  4. Step 4: Simplify right side
    8,978.12x = 46,246,675.90
  5. Step 5: Solve for x
    x = 46,246,675.90/8,978.12
  6. Step 6: Final answer
    x = 5,151.04

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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.