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Finding the Fourth Proportional to 9,769.80, 14,652.80 and 4,767.14

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Solution

The fourth proportional to 9,769.80, 14,652.80 and 4,767.14 is: 7,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.80 : 14,652.80 = 4,767.14 : x
  2. Step 2: Convert to fraction form
    9,769.80/14,652.80 = 4,767.14/x
  3. Step 3: Cross multiply
    9,769.80x = 14,652.80 × 4,767.14
  4. Step 4: Simplify right side
    9,769.80x = 69,851,948.99
  5. Step 5: Solve for x
    x = 69,851,948.99/9,769.80
  6. Step 6: Final answer
    x = 7,149.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.