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Finding the Fourth Proportional to 1,917.42, 2,647.02 and 1,640.64

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Solution

The fourth proportional to 1,917.42, 2,647.02 and 1,640.64 is: 2,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.42 : 2,647.02 = 1,640.64 : x
  2. Step 2: Convert to fraction form
    1,917.42/2,647.02 = 1,640.64/x
  3. Step 3: Cross multiply
    1,917.42x = 2,647.02 × 1,640.64
  4. Step 4: Simplify right side
    1,917.42x = 4,342,806.89
  5. Step 5: Solve for x
    x = 4,342,806.89/1,917.42
  6. Step 6: Final answer
    x = 2,264.92

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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.