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Finding the Fourth Proportional to 11,437.42, 15,786.76 and 6,723.22

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Solution

The fourth proportional to 11,437.42, 15,786.76 and 6,723.22 is: 9,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.42 : 15,786.76 = 6,723.22 : x
  2. Step 2: Convert to fraction form
    11,437.42/15,786.76 = 6,723.22/x
  3. Step 3: Cross multiply
    11,437.42x = 15,786.76 × 6,723.22
  4. Step 4: Simplify right side
    11,437.42x = 106,137,860.57
  5. Step 5: Solve for x
    x = 106,137,860.57/11,437.42
  6. Step 6: Final answer
    x = 9,279.88

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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.