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Finding the Fourth Proportional to 5,777.72, 7,974.30 and 3,421.04

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Solution

The fourth proportional to 5,777.72, 7,974.30 and 3,421.04 is: 4,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.72 : 7,974.30 = 3,421.04 : x
  2. Step 2: Convert to fraction form
    5,777.72/7,974.30 = 3,421.04/x
  3. Step 3: Cross multiply
    5,777.72x = 7,974.30 × 3,421.04
  4. Step 4: Simplify right side
    5,777.72x = 27,280,399.27
  5. Step 5: Solve for x
    x = 27,280,399.27/5,777.72
  6. Step 6: Final answer
    x = 4,721.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.