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Finding the Fourth Proportional to 2,141.76, 3,188.76 and 2,115.84

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Solution

The fourth proportional to 2,141.76, 3,188.76 and 2,115.84 is: 3,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.76 : 3,188.76 = 2,115.84 : x
  2. Step 2: Convert to fraction form
    2,141.76/3,188.76 = 2,115.84/x
  3. Step 3: Cross multiply
    2,141.76x = 3,188.76 × 2,115.84
  4. Step 4: Simplify right side
    2,141.76x = 6,746,905.96
  5. Step 5: Solve for x
    x = 6,746,905.96/2,141.76
  6. Step 6: Final answer
    x = 3,150.17

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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.