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Finding the Fourth Proportional to 12,310.13, 16,989 and 10,065.71

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Solution

The fourth proportional to 12,310.13, 16,989 and 10,065.71 is: 13,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.13 : 16,989 = 10,065.71 : x
  2. Step 2: Convert to fraction form
    12,310.13/16,989 = 10,065.71/x
  3. Step 3: Cross multiply
    12,310.13x = 16,989 × 10,065.71
  4. Step 4: Simplify right side
    12,310.13x = 171,006,347.19
  5. Step 5: Solve for x
    x = 171,006,347.19/12,310.13
  6. Step 6: Final answer
    x = 13,891.51

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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.