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Finding the Fourth Proportional to 6,609.48, 9,914.25 and 1,611.87

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Solution

The fourth proportional to 6,609.48, 9,914.25 and 1,611.87 is: 2,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.48 : 9,914.25 = 1,611.87 : x
  2. Step 2: Convert to fraction form
    6,609.48/9,914.25 = 1,611.87/x
  3. Step 3: Cross multiply
    6,609.48x = 9,914.25 × 1,611.87
  4. Step 4: Simplify right side
    6,609.48x = 15,980,482.15
  5. Step 5: Solve for x
    x = 15,980,482.15/6,609.48
  6. Step 6: Final answer
    x = 2,417.81

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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.