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Finding the Fourth Proportional to 2,210.86, 3,313 and 1,386.64

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Solution

The fourth proportional to 2,210.86, 3,313 and 1,386.64 is: 2,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.86 : 3,313 = 1,386.64 : x
  2. Step 2: Convert to fraction form
    2,210.86/3,313 = 1,386.64/x
  3. Step 3: Cross multiply
    2,210.86x = 3,313 × 1,386.64
  4. Step 4: Simplify right side
    2,210.86x = 4,593,938.32
  5. Step 5: Solve for x
    x = 4,593,938.32/2,210.86
  6. Step 6: Final answer
    x = 2,077.90

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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.