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Finding the Fourth Proportional to 4,666, 6,439.08 and 2,803.60

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Solution

The fourth proportional to 4,666, 6,439.08 and 2,803.60 is: 3,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666 : 6,439.08 = 2,803.60 : x
  2. Step 2: Convert to fraction form
    4,666/6,439.08 = 2,803.60/x
  3. Step 3: Cross multiply
    4,666x = 6,439.08 × 2,803.60
  4. Step 4: Simplify right side
    4,666x = 18,052,604.69
  5. Step 5: Solve for x
    x = 18,052,604.69/4,666
  6. Step 6: Final answer
    x = 3,868.97

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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.