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Finding the Fourth Proportional to 8,138.58, 11,233.11 and 5,301

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Solution

The fourth proportional to 8,138.58, 11,233.11 and 5,301 is: 7,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.58 : 11,233.11 = 5,301 : x
  2. Step 2: Convert to fraction form
    8,138.58/11,233.11 = 5,301/x
  3. Step 3: Cross multiply
    8,138.58x = 11,233.11 × 5,301
  4. Step 4: Simplify right side
    8,138.58x = 59,546,716.11
  5. Step 5: Solve for x
    x = 59,546,716.11/8,138.58
  6. Step 6: Final answer
    x = 7,316.60

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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.