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Finding the Fourth Proportional to 14,394, 19,863.78 and 8,106.48

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Solution

The fourth proportional to 14,394, 19,863.78 and 8,106.48 is: 11,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394 : 19,863.78 = 8,106.48 : x
  2. Step 2: Convert to fraction form
    14,394/19,863.78 = 8,106.48/x
  3. Step 3: Cross multiply
    14,394x = 19,863.78 × 8,106.48
  4. Step 4: Simplify right side
    14,394x = 161,025,335.29
  5. Step 5: Solve for x
    x = 161,025,335.29/14,394
  6. Step 6: Final answer
    x = 11,186.98

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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.