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Finding the Fourth Proportional to 2,073.12, 3,111.84 and 919.68

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Solution

The fourth proportional to 2,073.12, 3,111.84 and 919.68 is: 1,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.12 : 3,111.84 = 919.68 : x
  2. Step 2: Convert to fraction form
    2,073.12/3,111.84 = 919.68/x
  3. Step 3: Cross multiply
    2,073.12x = 3,111.84 × 919.68
  4. Step 4: Simplify right side
    2,073.12x = 2,861,897.01
  5. Step 5: Solve for x
    x = 2,861,897.01/2,073.12
  6. Step 6: Final answer
    x = 1,380.48

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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.