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Finding the Fourth Proportional to 9,894.78, 14,843.40 and 3,319.20

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Solution

The fourth proportional to 9,894.78, 14,843.40 and 3,319.20 is: 4,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.78 : 14,843.40 = 3,319.20 : x
  2. Step 2: Convert to fraction form
    9,894.78/14,843.40 = 3,319.20/x
  3. Step 3: Cross multiply
    9,894.78x = 14,843.40 × 3,319.20
  4. Step 4: Simplify right side
    9,894.78x = 49,268,213.28
  5. Step 5: Solve for x
    x = 49,268,213.28/9,894.78
  6. Step 6: Final answer
    x = 4,979.21

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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.