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Finding the Fourth Proportional to 4,298.37, 6,448.37 and 1,375.89

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Solution

The fourth proportional to 4,298.37, 6,448.37 and 1,375.89 is: 2,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.37 : 6,448.37 = 1,375.89 : x
  2. Step 2: Convert to fraction form
    4,298.37/6,448.37 = 1,375.89/x
  3. Step 3: Cross multiply
    4,298.37x = 6,448.37 × 1,375.89
  4. Step 4: Simplify right side
    4,298.37x = 8,872,247.80
  5. Step 5: Solve for x
    x = 8,872,247.80/4,298.37
  6. Step 6: Final answer
    x = 2,064.10

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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.