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Finding the Fourth Proportional to 6,987.92, 9,643.41 and 3,844.16

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Solution

The fourth proportional to 6,987.92, 9,643.41 and 3,844.16 is: 5,304.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.92 : 9,643.41 = 3,844.16 : x
  2. Step 2: Convert to fraction form
    6,987.92/9,643.41 = 3,844.16/x
  3. Step 3: Cross multiply
    6,987.92x = 9,643.41 × 3,844.16
  4. Step 4: Simplify right side
    6,987.92x = 37,070,810.99
  5. Step 5: Solve for x
    x = 37,070,810.99/6,987.92
  6. Step 6: Final answer
    x = 5,304.99

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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.