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Finding the Fourth Proportional to 5,102.80, 7,656.22 and 1,984.30

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Solution

The fourth proportional to 5,102.80, 7,656.22 and 1,984.30 is: 2,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.80 : 7,656.22 = 1,984.30 : x
  2. Step 2: Convert to fraction form
    5,102.80/7,656.22 = 1,984.30/x
  3. Step 3: Cross multiply
    5,102.80x = 7,656.22 × 1,984.30
  4. Step 4: Simplify right side
    5,102.80x = 15,192,220.69
  5. Step 5: Solve for x
    x = 15,192,220.69/5,102.80
  6. Step 6: Final answer
    x = 2,977.23

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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.