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Finding the Fourth Proportional to 10,853.38, 14,979.90 and 10,114.66

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Solution

The fourth proportional to 10,853.38, 14,979.90 and 10,114.66 is: 13,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.38 : 14,979.90 = 10,114.66 : x
  2. Step 2: Convert to fraction form
    10,853.38/14,979.90 = 10,114.66/x
  3. Step 3: Cross multiply
    10,853.38x = 14,979.90 × 10,114.66
  4. Step 4: Simplify right side
    10,853.38x = 151,516,595.33
  5. Step 5: Solve for x
    x = 151,516,595.33/10,853.38
  6. Step 6: Final answer
    x = 13,960.31

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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.