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Finding the Fourth Proportional to 9,348.26, 13,979.75 and 6,978.02

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Solution

The fourth proportional to 9,348.26, 13,979.75 and 6,978.02 is: 10,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.26 : 13,979.75 = 6,978.02 : x
  2. Step 2: Convert to fraction form
    9,348.26/13,979.75 = 6,978.02/x
  3. Step 3: Cross multiply
    9,348.26x = 13,979.75 × 6,978.02
  4. Step 4: Simplify right side
    9,348.26x = 97,550,975.10
  5. Step 5: Solve for x
    x = 97,550,975.10/9,348.26
  6. Step 6: Final answer
    x = 10,435.20

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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.