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Finding the Fourth Proportional to 11,344.42, 15,656.68 and 6,868.06

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Solution

The fourth proportional to 11,344.42, 15,656.68 and 6,868.06 is: 9,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.42 : 15,656.68 = 6,868.06 : x
  2. Step 2: Convert to fraction form
    11,344.42/15,656.68 = 6,868.06/x
  3. Step 3: Cross multiply
    11,344.42x = 15,656.68 × 6,868.06
  4. Step 4: Simplify right side
    11,344.42x = 107,530,987.08
  5. Step 5: Solve for x
    x = 107,530,987.08/11,344.42
  6. Step 6: Final answer
    x = 9,478.75

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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.