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Finding the Fourth Proportional to 18,347.40, 25,329.92 and 12,078

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Solution

The fourth proportional to 18,347.40, 25,329.92 and 12,078 is: 16,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,347.40 : 25,329.92 = 12,078 : x
  2. Step 2: Convert to fraction form
    18,347.40/25,329.92 = 12,078/x
  3. Step 3: Cross multiply
    18,347.40x = 25,329.92 × 12,078
  4. Step 4: Simplify right side
    18,347.40x = 305,934,713.37
  5. Step 5: Solve for x
    x = 305,934,713.37/18,347.40
  6. Step 6: Final answer
    x = 16,674.55

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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.