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Finding the Fourth Proportional to 14,496.75, 20,005.52 and 7,872.75

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Solution

The fourth proportional to 14,496.75, 20,005.52 and 7,872.75 is: 10,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.75 : 20,005.52 = 7,872.75 : x
  2. Step 2: Convert to fraction form
    14,496.75/20,005.52 = 7,872.75/x
  3. Step 3: Cross multiply
    14,496.75x = 20,005.52 × 7,872.75
  4. Step 4: Simplify right side
    14,496.75x = 157,498,418.22
  5. Step 5: Solve for x
    x = 157,498,418.22/14,496.75
  6. Step 6: Final answer
    x = 10,864.40

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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.