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Finding the Fourth Proportional to 12,465.78, 18,711.14 and 8,959.90

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Solution

The fourth proportional to 12,465.78, 18,711.14 and 8,959.90 is: 13,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.78 : 18,711.14 = 8,959.90 : x
  2. Step 2: Convert to fraction form
    12,465.78/18,711.14 = 8,959.90/x
  3. Step 3: Cross multiply
    12,465.78x = 18,711.14 × 8,959.90
  4. Step 4: Simplify right side
    12,465.78x = 167,649,943.29
  5. Step 5: Solve for x
    x = 167,649,943.29/12,465.78
  6. Step 6: Final answer
    x = 13,448.81

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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.