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Finding the Fourth Proportional to 2,108.96, 3,141.20 and 2,014.20

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Solution

The fourth proportional to 2,108.96, 3,141.20 and 2,014.20 is: 3,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.96 : 3,141.20 = 2,014.20 : x
  2. Step 2: Convert to fraction form
    2,108.96/3,141.20 = 2,014.20/x
  3. Step 3: Cross multiply
    2,108.96x = 3,141.20 × 2,014.20
  4. Step 4: Simplify right side
    2,108.96x = 6,327,005.04
  5. Step 5: Solve for x
    x = 6,327,005.04/2,108.96
  6. Step 6: Final answer
    x = 3,000.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.