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Finding the Fourth Proportional to 2,105.79, 3,157.13 and 1,009.11

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Solution

The fourth proportional to 2,105.79, 3,157.13 and 1,009.11 is: 1,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.79 : 3,157.13 = 1,009.11 : x
  2. Step 2: Convert to fraction form
    2,105.79/3,157.13 = 1,009.11/x
  3. Step 3: Cross multiply
    2,105.79x = 3,157.13 × 1,009.11
  4. Step 4: Simplify right side
    2,105.79x = 3,185,886.41
  5. Step 5: Solve for x
    x = 3,185,886.41/2,105.79
  6. Step 6: Final answer
    x = 1,512.92

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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.