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Finding the Fourth Proportional to 5,776.22, 7,972.42 and 3,650.40

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Solution

The fourth proportional to 5,776.22, 7,972.42 and 3,650.40 is: 5,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.22 : 7,972.42 = 3,650.40 : x
  2. Step 2: Convert to fraction form
    5,776.22/7,972.42 = 3,650.40/x
  3. Step 3: Cross multiply
    5,776.22x = 7,972.42 × 3,650.40
  4. Step 4: Simplify right side
    5,776.22x = 29,102,463.85
  5. Step 5: Solve for x
    x = 29,102,463.85/5,776.22
  6. Step 6: Final answer
    x = 5,038.33

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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.