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Finding the Fourth Proportional to 4,328, 6,493.14 and 1,555.28

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Solution

The fourth proportional to 4,328, 6,493.14 and 1,555.28 is: 2,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328 : 6,493.14 = 1,555.28 : x
  2. Step 2: Convert to fraction form
    4,328/6,493.14 = 1,555.28/x
  3. Step 3: Cross multiply
    4,328x = 6,493.14 × 1,555.28
  4. Step 4: Simplify right side
    4,328x = 10,098,650.78
  5. Step 5: Solve for x
    x = 10,098,650.78/4,328
  6. Step 6: Final answer
    x = 2,333.33

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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.