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Finding the Fourth Proportional to 2,162.70, 2,981.07 and 2,065.50

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Solution

The fourth proportional to 2,162.70, 2,981.07 and 2,065.50 is: 2,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.70 : 2,981.07 = 2,065.50 : x
  2. Step 2: Convert to fraction form
    2,162.70/2,981.07 = 2,065.50/x
  3. Step 3: Cross multiply
    2,162.70x = 2,981.07 × 2,065.50
  4. Step 4: Simplify right side
    2,162.70x = 6,157,400.09
  5. Step 5: Solve for x
    x = 6,157,400.09/2,162.70
  6. Step 6: Final answer
    x = 2,847.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.