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Finding the Fourth Proportional to 6,609.36, 9,914.02 and 1,678.98

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Solution

The fourth proportional to 6,609.36, 9,914.02 and 1,678.98 is: 2,518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.36 : 9,914.02 = 1,678.98 : x
  2. Step 2: Convert to fraction form
    6,609.36/9,914.02 = 1,678.98/x
  3. Step 3: Cross multiply
    6,609.36x = 9,914.02 × 1,678.98
  4. Step 4: Simplify right side
    6,609.36x = 16,645,441.30
  5. Step 5: Solve for x
    x = 16,645,441.30/6,609.36
  6. Step 6: Final answer
    x = 2,518.46

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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.