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Finding the Fourth Proportional to 6,605.40, 9,901.92 and 3,314.64

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Solution

The fourth proportional to 6,605.40, 9,901.92 and 3,314.64 is: 4,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.40 : 9,901.92 = 3,314.64 : x
  2. Step 2: Convert to fraction form
    6,605.40/9,901.92 = 3,314.64/x
  3. Step 3: Cross multiply
    6,605.40x = 9,901.92 × 3,314.64
  4. Step 4: Simplify right side
    6,605.40x = 32,821,300.11
  5. Step 5: Solve for x
    x = 32,821,300.11/6,605.40
  6. Step 6: Final answer
    x = 4,968.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.