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Finding the Fourth Proportional to 6,329.78, 9,491 and 3,038.38

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Solution

The fourth proportional to 6,329.78, 9,491 and 3,038.38 is: 4,555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.78 : 9,491 = 3,038.38 : x
  2. Step 2: Convert to fraction form
    6,329.78/9,491 = 3,038.38/x
  3. Step 3: Cross multiply
    6,329.78x = 9,491 × 3,038.38
  4. Step 4: Simplify right side
    6,329.78x = 28,837,264.58
  5. Step 5: Solve for x
    x = 28,837,264.58/6,329.78
  6. Step 6: Final answer
    x = 4,555.81

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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.