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Finding the Fourth Proportional to 2,643.76, 3,961.09 and 1,411.75

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Solution

The fourth proportional to 2,643.76, 3,961.09 and 1,411.75 is: 2,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.76 : 3,961.09 = 1,411.75 : x
  2. Step 2: Convert to fraction form
    2,643.76/3,961.09 = 1,411.75/x
  3. Step 3: Cross multiply
    2,643.76x = 3,961.09 × 1,411.75
  4. Step 4: Simplify right side
    2,643.76x = 5,592,068.81
  5. Step 5: Solve for x
    x = 5,592,068.81/2,643.76
  6. Step 6: Final answer
    x = 2,115.20

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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.