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Finding the Fourth Proportional to 3,870.94, 5,807.44 and 2,224.54

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Solution

The fourth proportional to 3,870.94, 5,807.44 and 2,224.54 is: 3,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.94 : 5,807.44 = 2,224.54 : x
  2. Step 2: Convert to fraction form
    3,870.94/5,807.44 = 2,224.54/x
  3. Step 3: Cross multiply
    3,870.94x = 5,807.44 × 2,224.54
  4. Step 4: Simplify right side
    3,870.94x = 12,918,882.58
  5. Step 5: Solve for x
    x = 12,918,882.58/3,870.94
  6. Step 6: Final answer
    x = 3,337.40

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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.