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Finding the Fourth Proportional to 9,390.64, 12,959.99 and 5,198.89

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Solution

The fourth proportional to 9,390.64, 12,959.99 and 5,198.89 is: 7,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.64 : 12,959.99 = 5,198.89 : x
  2. Step 2: Convert to fraction form
    9,390.64/12,959.99 = 5,198.89/x
  3. Step 3: Cross multiply
    9,390.64x = 12,959.99 × 5,198.89
  4. Step 4: Simplify right side
    9,390.64x = 67,377,562.41
  5. Step 5: Solve for x
    x = 67,377,562.41/9,390.64
  6. Step 6: Final answer
    x = 7,174.97

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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.