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Finding the Fourth Proportional to 38,486.88, 57,724.74 and 10,408.57

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Solution

The fourth proportional to 38,486.88, 57,724.74 and 10,408.57 is: 15,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,486.88 : 57,724.74 = 10,408.57 : x
  2. Step 2: Convert to fraction form
    38,486.88/57,724.74 = 10,408.57/x
  3. Step 3: Cross multiply
    38,486.88x = 57,724.74 × 10,408.57
  4. Step 4: Simplify right side
    38,486.88x = 600,831,852.71
  5. Step 5: Solve for x
    x = 600,831,852.71/38,486.88
  6. Step 6: Final answer
    x = 15,611.34

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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.