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Finding the Fourth Proportional to 6,614.24, 9,921.20 and 1,683.89

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Solution

The fourth proportional to 6,614.24, 9,921.20 and 1,683.89 is: 2,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.24 : 9,921.20 = 1,683.89 : x
  2. Step 2: Convert to fraction form
    6,614.24/9,921.20 = 1,683.89/x
  3. Step 3: Cross multiply
    6,614.24x = 9,921.20 × 1,683.89
  4. Step 4: Simplify right side
    6,614.24x = 16,706,209.47
  5. Step 5: Solve for x
    x = 16,706,209.47/6,614.24
  6. Step 6: Final answer
    x = 2,525.79

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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.