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Finding the Fourth Proportional to 8,132.68, 11,222.94 and 5,338

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Solution

The fourth proportional to 8,132.68, 11,222.94 and 5,338 is: 7,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.68 : 11,222.94 = 5,338 : x
  2. Step 2: Convert to fraction form
    8,132.68/11,222.94 = 5,338/x
  3. Step 3: Cross multiply
    8,132.68x = 11,222.94 × 5,338
  4. Step 4: Simplify right side
    8,132.68x = 59,908,053.72
  5. Step 5: Solve for x
    x = 59,908,053.72/8,132.68
  6. Step 6: Final answer
    x = 7,366.34

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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.