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Finding the Fourth Proportional to 5,120.84, 7,675.02 and 2,654.30

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Solution

The fourth proportional to 5,120.84, 7,675.02 and 2,654.30 is: 3,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.84 : 7,675.02 = 2,654.30 : x
  2. Step 2: Convert to fraction form
    5,120.84/7,675.02 = 2,654.30/x
  3. Step 3: Cross multiply
    5,120.84x = 7,675.02 × 2,654.30
  4. Step 4: Simplify right side
    5,120.84x = 20,371,805.59
  5. Step 5: Solve for x
    x = 20,371,805.59/5,120.84
  6. Step 6: Final answer
    x = 3,978.22

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1.5x scale

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.