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Finding the Fourth Proportional to 2,564.84, 3,540.84 and 1,974.08

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Solution

The fourth proportional to 2,564.84, 3,540.84 and 1,974.08 is: 2,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.84 : 3,540.84 = 1,974.08 : x
  2. Step 2: Convert to fraction form
    2,564.84/3,540.84 = 1,974.08/x
  3. Step 3: Cross multiply
    2,564.84x = 3,540.84 × 1,974.08
  4. Step 4: Simplify right side
    2,564.84x = 6,989,901.43
  5. Step 5: Solve for x
    x = 6,989,901.43/2,564.84
  6. Step 6: Final answer
    x = 2,725.28

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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.