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Finding the Fourth Proportional to 1,638.78, 2,261.72 and 930.84

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Solution

The fourth proportional to 1,638.78, 2,261.72 and 930.84 is: 1,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.78 : 2,261.72 = 930.84 : x
  2. Step 2: Convert to fraction form
    1,638.78/2,261.72 = 930.84/x
  3. Step 3: Cross multiply
    1,638.78x = 2,261.72 × 930.84
  4. Step 4: Simplify right side
    1,638.78x = 2,105,299.44
  5. Step 5: Solve for x
    x = 2,105,299.44/1,638.78
  6. Step 6: Final answer
    x = 1,284.67

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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.