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Finding the Fourth Proportional to 2,140.05, 3,210.05 and 679.22

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Solution

The fourth proportional to 2,140.05, 3,210.05 and 679.22 is: 1,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.05 : 3,210.05 = 679.22 : x
  2. Step 2: Convert to fraction form
    2,140.05/3,210.05 = 679.22/x
  3. Step 3: Cross multiply
    2,140.05x = 3,210.05 × 679.22
  4. Step 4: Simplify right side
    2,140.05x = 2,180,310.71
  5. Step 5: Solve for x
    x = 2,180,310.71/2,140.05
  6. Step 6: Final answer
    x = 1,018.81

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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.