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Finding the Fourth Proportional to 3,904.47, 5,856.72 and 1,438.22

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Solution

The fourth proportional to 3,904.47, 5,856.72 and 1,438.22 is: 2,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.47 : 5,856.72 = 1,438.22 : x
  2. Step 2: Convert to fraction form
    3,904.47/5,856.72 = 1,438.22/x
  3. Step 3: Cross multiply
    3,904.47x = 5,856.72 × 1,438.22
  4. Step 4: Simplify right side
    3,904.47x = 8,423,244.65
  5. Step 5: Solve for x
    x = 8,423,244.65/3,904.47
  6. Step 6: Final answer
    x = 2,157.33

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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.