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Finding the Fourth Proportional to 6,987.68, 9,643.24 and 3,844.04

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Solution

The fourth proportional to 6,987.68, 9,643.24 and 3,844.04 is: 5,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.68 : 9,643.24 = 3,844.04 : x
  2. Step 2: Convert to fraction form
    6,987.68/9,643.24 = 3,844.04/x
  3. Step 3: Cross multiply
    6,987.68x = 9,643.24 × 3,844.04
  4. Step 4: Simplify right side
    6,987.68x = 37,069,000.29
  5. Step 5: Solve for x
    x = 37,069,000.29/6,987.68
  6. Step 6: Final answer
    x = 5,304.91

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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.