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Finding the Fourth Proportional to 6,998.87, 9,658.35 and 4,166.19

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Solution

The fourth proportional to 6,998.87, 9,658.35 and 4,166.19 is: 5,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.87 : 9,658.35 = 4,166.19 : x
  2. Step 2: Convert to fraction form
    6,998.87/9,658.35 = 4,166.19/x
  3. Step 3: Cross multiply
    6,998.87x = 9,658.35 × 4,166.19
  4. Step 4: Simplify right side
    6,998.87x = 40,238,521.19
  5. Step 5: Solve for x
    x = 40,238,521.19/6,998.87
  6. Step 6: Final answer
    x = 5,749.29

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Half scale
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Double scale
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Similar ratio
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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.