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Finding the Fourth Proportional to 38,978.90, 58,474.46 and 12,677.48

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Solution

The fourth proportional to 38,978.90, 58,474.46 and 12,677.48 is: 19,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,978.90 : 58,474.46 = 12,677.48 : x
  2. Step 2: Convert to fraction form
    38,978.90/58,474.46 = 12,677.48/x
  3. Step 3: Cross multiply
    38,978.90x = 58,474.46 × 12,677.48
  4. Step 4: Simplify right side
    38,978.90x = 741,308,797.16
  5. Step 5: Solve for x
    x = 741,308,797.16/38,978.90
  6. Step 6: Final answer
    x = 19,018.21

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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.