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Finding the Fourth Proportional to 2,817.63, 3,888.09 and 1,638.78

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Solution

The fourth proportional to 2,817.63, 3,888.09 and 1,638.78 is: 2,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.63 : 3,888.09 = 1,638.78 : x
  2. Step 2: Convert to fraction form
    2,817.63/3,888.09 = 1,638.78/x
  3. Step 3: Cross multiply
    2,817.63x = 3,888.09 × 1,638.78
  4. Step 4: Simplify right side
    2,817.63x = 6,371,724.13
  5. Step 5: Solve for x
    x = 6,371,724.13/2,817.63
  6. Step 6: Final answer
    x = 2,261.38

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1.5x scale

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.