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Finding the Fourth Proportional to 5,510, 8,265 and 1,614.30

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Solution

The fourth proportional to 5,510, 8,265 and 1,614.30 is: 2,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510 : 8,265 = 1,614.30 : x
  2. Step 2: Convert to fraction form
    5,510/8,265 = 1,614.30/x
  3. Step 3: Cross multiply
    5,510x = 8,265 × 1,614.30
  4. Step 4: Simplify right side
    5,510x = 13,342,189.50
  5. Step 5: Solve for x
    x = 13,342,189.50/5,510
  6. Step 6: Final answer
    x = 2,421.45

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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.