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Finding the Fourth Proportional to 6,197.10, 9,297 and 3,078.78

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Solution

The fourth proportional to 6,197.10, 9,297 and 3,078.78 is: 4,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.10 : 9,297 = 3,078.78 : x
  2. Step 2: Convert to fraction form
    6,197.10/9,297 = 3,078.78/x
  3. Step 3: Cross multiply
    6,197.10x = 9,297 × 3,078.78
  4. Step 4: Simplify right side
    6,197.10x = 28,623,417.66
  5. Step 5: Solve for x
    x = 28,623,417.66/6,197.10
  6. Step 6: Final answer
    x = 4,618.84

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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.