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Finding the Fourth Proportional to 3,458.72, 5,188.08 and 1,267.63

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Solution

The fourth proportional to 3,458.72, 5,188.08 and 1,267.63 is: 1,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.72 : 5,188.08 = 1,267.63 : x
  2. Step 2: Convert to fraction form
    3,458.72/5,188.08 = 1,267.63/x
  3. Step 3: Cross multiply
    3,458.72x = 5,188.08 × 1,267.63
  4. Step 4: Simplify right side
    3,458.72x = 6,576,552.88
  5. Step 5: Solve for x
    x = 6,576,552.88/3,458.72
  6. Step 6: Final answer
    x = 1,901.44

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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.