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Finding the Fourth Proportional to 9,651.78, 14,478.48 and 3,078.90

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Solution

The fourth proportional to 9,651.78, 14,478.48 and 3,078.90 is: 4,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.78 : 14,478.48 = 3,078.90 : x
  2. Step 2: Convert to fraction form
    9,651.78/14,478.48 = 3,078.90/x
  3. Step 3: Cross multiply
    9,651.78x = 14,478.48 × 3,078.90
  4. Step 4: Simplify right side
    9,651.78x = 44,577,792.07
  5. Step 5: Solve for x
    x = 44,577,792.07/9,651.78
  6. Step 6: Final answer
    x = 4,618.61

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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.