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Finding the Fourth Proportional to 14,514, 20,029.48 and 7,890

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Solution

The fourth proportional to 14,514, 20,029.48 and 7,890 is: 10,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514 : 20,029.48 = 7,890 : x
  2. Step 2: Convert to fraction form
    14,514/20,029.48 = 7,890/x
  3. Step 3: Cross multiply
    14,514x = 20,029.48 × 7,890
  4. Step 4: Simplify right side
    14,514x = 158,032,597.20
  5. Step 5: Solve for x
    x = 158,032,597.20/14,514
  6. Step 6: Final answer
    x = 10,888.29

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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.