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Finding the Fourth Proportional to 6,988.26, 9,643.98 and 3,844.64

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Solution

The fourth proportional to 6,988.26, 9,643.98 and 3,844.64 is: 5,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.26 : 9,643.98 = 3,844.64 : x
  2. Step 2: Convert to fraction form
    6,988.26/9,643.98 = 3,844.64/x
  3. Step 3: Cross multiply
    6,988.26x = 9,643.98 × 3,844.64
  4. Step 4: Simplify right side
    6,988.26x = 37,077,631.27
  5. Step 5: Solve for x
    x = 37,077,631.27/6,988.26
  6. Step 6: Final answer
    x = 5,305.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.