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Finding the Fourth Proportional to 6,407.62, 9,610.95 and 3,078.25

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Solution

The fourth proportional to 6,407.62, 9,610.95 and 3,078.25 is: 4,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.62 : 9,610.95 = 3,078.25 : x
  2. Step 2: Convert to fraction form
    6,407.62/9,610.95 = 3,078.25/x
  3. Step 3: Cross multiply
    6,407.62x = 9,610.95 × 3,078.25
  4. Step 4: Simplify right side
    6,407.62x = 29,584,894.35
  5. Step 5: Solve for x
    x = 29,584,894.35/6,407.62
  6. Step 6: Final answer
    x = 4,617.14

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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.