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Finding the Fourth Proportional to 5,057.24, 6,979.50 and 4,660.20

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Solution

The fourth proportional to 5,057.24, 6,979.50 and 4,660.20 is: 6,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.24 : 6,979.50 = 4,660.20 : x
  2. Step 2: Convert to fraction form
    5,057.24/6,979.50 = 4,660.20/x
  3. Step 3: Cross multiply
    5,057.24x = 6,979.50 × 4,660.20
  4. Step 4: Simplify right side
    5,057.24x = 32,525,865.90
  5. Step 5: Solve for x
    x = 32,525,865.90/5,057.24
  6. Step 6: Final answer
    x = 6,431.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.