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Finding the Fourth Proportional to 14,986.62, 20,689.82 and 9,019.75

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Solution

The fourth proportional to 14,986.62, 20,689.82 and 9,019.75 is: 12,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,986.62 : 20,689.82 = 9,019.75 : x
  2. Step 2: Convert to fraction form
    14,986.62/20,689.82 = 9,019.75/x
  3. Step 3: Cross multiply
    14,986.62x = 20,689.82 × 9,019.75
  4. Step 4: Simplify right side
    14,986.62x = 186,616,958.85
  5. Step 5: Solve for x
    x = 186,616,958.85/14,986.62
  6. Step 6: Final answer
    x = 12,452.24

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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.