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Finding the Fourth Proportional to 14,514.25, 20,029.68 and 7,890.25

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Solution

The fourth proportional to 14,514.25, 20,029.68 and 7,890.25 is: 10,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.25 : 20,029.68 = 7,890.25 : x
  2. Step 2: Convert to fraction form
    14,514.25/20,029.68 = 7,890.25/x
  3. Step 3: Cross multiply
    14,514.25x = 20,029.68 × 7,890.25
  4. Step 4: Simplify right side
    14,514.25x = 158,039,182.62
  5. Step 5: Solve for x
    x = 158,039,182.62/14,514.25
  6. Step 6: Final answer
    x = 10,888.55

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1.5x scale

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.