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Finding the Fourth Proportional to 2,647.84, 3,971.64 and 1,261.84

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Solution

The fourth proportional to 2,647.84, 3,971.64 and 1,261.84 is: 1,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.84 : 3,971.64 = 1,261.84 : x
  2. Step 2: Convert to fraction form
    2,647.84/3,971.64 = 1,261.84/x
  3. Step 3: Cross multiply
    2,647.84x = 3,971.64 × 1,261.84
  4. Step 4: Simplify right side
    2,647.84x = 5,011,574.22
  5. Step 5: Solve for x
    x = 5,011,574.22/2,647.84
  6. Step 6: Final answer
    x = 1,892.70

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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.