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Finding the Fourth Proportional to 6,987.98, 9,643.22 and 3,844.17

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Solution

The fourth proportional to 6,987.98, 9,643.22 and 3,844.17 is: 5,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.98 : 9,643.22 = 3,844.17 : x
  2. Step 2: Convert to fraction form
    6,987.98/9,643.22 = 3,844.17/x
  3. Step 3: Cross multiply
    6,987.98x = 9,643.22 × 3,844.17
  4. Step 4: Simplify right side
    6,987.98x = 37,070,133.70
  5. Step 5: Solve for x
    x = 37,070,133.70/6,987.98
  6. Step 6: Final answer
    x = 5,304.84

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1.5x scale

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.