Home / 12,231.20-16,854-10,114.40

Finding the Fourth Proportional to 12,231.20, 16,854 and 10,114.40

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Solution

The fourth proportional to 12,231.20, 16,854 and 10,114.40 is: 13,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.20 : 16,854 = 10,114.40 : x
  2. Step 2: Convert to fraction form
    12,231.20/16,854 = 10,114.40/x
  3. Step 3: Cross multiply
    12,231.20x = 16,854 × 10,114.40
  4. Step 4: Simplify right side
    12,231.20x = 170,468,097.60
  5. Step 5: Solve for x
    x = 170,468,097.60/12,231.20
  6. Step 6: Final answer
    x = 13,937.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.