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Finding the Fourth Proportional to 2,641.72, 3,647.28 and 1,647.40

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Solution

The fourth proportional to 2,641.72, 3,647.28 and 1,647.40 is: 2,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.72 : 3,647.28 = 1,647.40 : x
  2. Step 2: Convert to fraction form
    2,641.72/3,647.28 = 1,647.40/x
  3. Step 3: Cross multiply
    2,641.72x = 3,647.28 × 1,647.40
  4. Step 4: Simplify right side
    2,641.72x = 6,008,529.07
  5. Step 5: Solve for x
    x = 6,008,529.07/2,641.72
  6. Step 6: Final answer
    x = 2,274.48

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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.