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Finding the Fourth Proportional to 1,638.46, 2,261.46 and 1,009.38

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Solution

The fourth proportional to 1,638.46, 2,261.46 and 1,009.38 is: 1,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.46 : 2,261.46 = 1,009.38 : x
  2. Step 2: Convert to fraction form
    1,638.46/2,261.46 = 1,009.38/x
  3. Step 3: Cross multiply
    1,638.46x = 2,261.46 × 1,009.38
  4. Step 4: Simplify right side
    1,638.46x = 2,282,672.49
  5. Step 5: Solve for x
    x = 2,282,672.49/1,638.46
  6. Step 6: Final answer
    x = 1,393.18

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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.