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Finding the Fourth Proportional to 2,145.76, 3,194.72 and 2,119.84

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Solution

The fourth proportional to 2,145.76, 3,194.72 and 2,119.84 is: 3,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.76 : 3,194.72 = 2,119.84 : x
  2. Step 2: Convert to fraction form
    2,145.76/3,194.72 = 2,119.84/x
  3. Step 3: Cross multiply
    2,145.76x = 3,194.72 × 2,119.84
  4. Step 4: Simplify right side
    2,145.76x = 6,772,295.24
  5. Step 5: Solve for x
    x = 6,772,295.24/2,145.76
  6. Step 6: Final answer
    x = 3,156.13

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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.