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Finding the Fourth Proportional to 6,647.70, 9,973.18 and 3,360.72

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Solution

The fourth proportional to 6,647.70, 9,973.18 and 3,360.72 is: 5,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.70 : 9,973.18 = 3,360.72 : x
  2. Step 2: Convert to fraction form
    6,647.70/9,973.18 = 3,360.72/x
  3. Step 3: Cross multiply
    6,647.70x = 9,973.18 × 3,360.72
  4. Step 4: Simplify right side
    6,647.70x = 33,517,065.49
  5. Step 5: Solve for x
    x = 33,517,065.49/6,647.70
  6. Step 6: Final answer
    x = 5,041.90

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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.