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Finding the Fourth Proportional to 38,638.95, 57,964.95 and 11,978.82

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Solution

The fourth proportional to 38,638.95, 57,964.95 and 11,978.82 is: 17,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,638.95 : 57,964.95 = 11,978.82 : x
  2. Step 2: Convert to fraction form
    38,638.95/57,964.95 = 11,978.82/x
  3. Step 3: Cross multiply
    38,638.95x = 57,964.95 × 11,978.82
  4. Step 4: Simplify right side
    38,638.95x = 694,351,702.36
  5. Step 5: Solve for x
    x = 694,351,702.36/38,638.95
  6. Step 6: Final answer
    x = 17,970.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.