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Finding the Fourth Proportional to 6,630, 9,149.40 and 3,686

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Solution

The fourth proportional to 6,630, 9,149.40 and 3,686 is: 5,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630 : 9,149.40 = 3,686 : x
  2. Step 2: Convert to fraction form
    6,630/9,149.40 = 3,686/x
  3. Step 3: Cross multiply
    6,630x = 9,149.40 × 3,686
  4. Step 4: Simplify right side
    6,630x = 33,724,688.40
  5. Step 5: Solve for x
    x = 33,724,688.40/6,630
  6. Step 6: Final answer
    x = 5,086.68

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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.