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Finding the Fourth Proportional to 8,661.96, 12,991.71 and 3,114.47

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Solution

The fourth proportional to 8,661.96, 12,991.71 and 3,114.47 is: 4,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.96 : 12,991.71 = 3,114.47 : x
  2. Step 2: Convert to fraction form
    8,661.96/12,991.71 = 3,114.47/x
  3. Step 3: Cross multiply
    8,661.96x = 12,991.71 × 3,114.47
  4. Step 4: Simplify right side
    8,661.96x = 40,462,226.09
  5. Step 5: Solve for x
    x = 40,462,226.09/8,661.96
  6. Step 6: Final answer
    x = 4,671.26

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1.5x scale

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.