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Finding the Fourth Proportional to 14,487.14, 20,001.93 and 9,769.70

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Solution

The fourth proportional to 14,487.14, 20,001.93 and 9,769.70 is: 13,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.14 : 20,001.93 = 9,769.70 : x
  2. Step 2: Convert to fraction form
    14,487.14/20,001.93 = 9,769.70/x
  3. Step 3: Cross multiply
    14,487.14x = 20,001.93 × 9,769.70
  4. Step 4: Simplify right side
    14,487.14x = 195,412,855.52
  5. Step 5: Solve for x
    x = 195,412,855.52/14,487.14
  6. Step 6: Final answer
    x = 13,488.71

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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.