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Finding the Fourth Proportional to 8,661.74, 12,985.32 and 3,464.78

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Solution

The fourth proportional to 8,661.74, 12,985.32 and 3,464.78 is: 5,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.74 : 12,985.32 = 3,464.78 : x
  2. Step 2: Convert to fraction form
    8,661.74/12,985.32 = 3,464.78/x
  3. Step 3: Cross multiply
    8,661.74x = 12,985.32 × 3,464.78
  4. Step 4: Simplify right side
    8,661.74x = 44,991,277.03
  5. Step 5: Solve for x
    x = 44,991,277.03/8,661.74
  6. Step 6: Final answer
    x = 5,194.25

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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.