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Finding the Fourth Proportional to 9,719.80, 14,586.80 and 3,878.08

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Solution

The fourth proportional to 9,719.80, 14,586.80 and 3,878.08 is: 5,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.80 : 14,586.80 = 3,878.08 : x
  2. Step 2: Convert to fraction form
    9,719.80/14,586.80 = 3,878.08/x
  3. Step 3: Cross multiply
    9,719.80x = 14,586.80 × 3,878.08
  4. Step 4: Simplify right side
    9,719.80x = 56,568,777.34
  5. Step 5: Solve for x
    x = 56,568,777.34/9,719.80
  6. Step 6: Final answer
    x = 5,819.95

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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.