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Finding the Fourth Proportional to 8,198.68, 11,310.54 and 5,053

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Solution

The fourth proportional to 8,198.68, 11,310.54 and 5,053 is: 6,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.68 : 11,310.54 = 5,053 : x
  2. Step 2: Convert to fraction form
    8,198.68/11,310.54 = 5,053/x
  3. Step 3: Cross multiply
    8,198.68x = 11,310.54 × 5,053
  4. Step 4: Simplify right side
    8,198.68x = 57,152,158.62
  5. Step 5: Solve for x
    x = 57,152,158.62/8,198.68
  6. Step 6: Final answer
    x = 6,970.90

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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.