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Finding the Fourth Proportional to 3,111.54, 4,667.31 and 920.10

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Solution

The fourth proportional to 3,111.54, 4,667.31 and 920.10 is: 1,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.54 : 4,667.31 = 920.10 : x
  2. Step 2: Convert to fraction form
    3,111.54/4,667.31 = 920.10/x
  3. Step 3: Cross multiply
    3,111.54x = 4,667.31 × 920.10
  4. Step 4: Simplify right side
    3,111.54x = 4,294,363.99
  5. Step 5: Solve for x
    x = 4,294,363.99/3,111.54
  6. Step 6: Final answer
    x = 1,380.14

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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.