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Finding the Fourth Proportional to 8,978.97, 13,468.46 and 3,056.45

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Solution

The fourth proportional to 8,978.97, 13,468.46 and 3,056.45 is: 4,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.97 : 13,468.46 = 3,056.45 : x
  2. Step 2: Convert to fraction form
    8,978.97/13,468.46 = 3,056.45/x
  3. Step 3: Cross multiply
    8,978.97x = 13,468.46 × 3,056.45
  4. Step 4: Simplify right side
    8,978.97x = 41,165,674.57
  5. Step 5: Solve for x
    x = 41,165,674.57/8,978.97
  6. Step 6: Final answer
    x = 4,584.68

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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.