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Finding the Fourth Proportional to 12,332.16, 18,504 and 7,142.40

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Solution

The fourth proportional to 12,332.16, 18,504 and 7,142.40 is: 10,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.16 : 18,504 = 7,142.40 : x
  2. Step 2: Convert to fraction form
    12,332.16/18,504 = 7,142.40/x
  3. Step 3: Cross multiply
    12,332.16x = 18,504 × 7,142.40
  4. Step 4: Simplify right side
    12,332.16x = 132,162,969.60
  5. Step 5: Solve for x
    x = 132,162,969.60/12,332.16
  6. Step 6: Final answer
    x = 10,716.94

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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.