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Finding the Fourth Proportional to 8,657.60, 12,978.61 and 3,109.64

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Solution

The fourth proportional to 8,657.60, 12,978.61 and 3,109.64 is: 4,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.60 : 12,978.61 = 3,109.64 : x
  2. Step 2: Convert to fraction form
    8,657.60/12,978.61 = 3,109.64/x
  3. Step 3: Cross multiply
    8,657.60x = 12,978.61 × 3,109.64
  4. Step 4: Simplify right side
    8,657.60x = 40,358,732.13
  5. Step 5: Solve for x
    x = 40,358,732.13/8,657.60
  6. Step 6: Final answer
    x = 4,661.66

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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.