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Finding the Fourth Proportional to 2,677.72, 4,015.14 and 922.12

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Solution

The fourth proportional to 2,677.72, 4,015.14 and 922.12 is: 1,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.72 : 4,015.14 = 922.12 : x
  2. Step 2: Convert to fraction form
    2,677.72/4,015.14 = 922.12/x
  3. Step 3: Cross multiply
    2,677.72x = 4,015.14 × 922.12
  4. Step 4: Simplify right side
    2,677.72x = 3,702,440.90
  5. Step 5: Solve for x
    x = 3,702,440.90/2,677.72
  6. Step 6: Final answer
    x = 1,382.68

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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.