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Finding the Fourth Proportional to 3,869.54, 5,802.41 and 2,700.10

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Solution

The fourth proportional to 3,869.54, 5,802.41 and 2,700.10 is: 4,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.54 : 5,802.41 = 2,700.10 : x
  2. Step 2: Convert to fraction form
    3,869.54/5,802.41 = 2,700.10/x
  3. Step 3: Cross multiply
    3,869.54x = 5,802.41 × 2,700.10
  4. Step 4: Simplify right side
    3,869.54x = 15,667,087.24
  5. Step 5: Solve for x
    x = 15,667,087.24/3,869.54
  6. Step 6: Final answer
    x = 4,048.82

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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.