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Finding the Fourth Proportional to 38,603.85, 57,905.10 and 12,308.37

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Solution

The fourth proportional to 38,603.85, 57,905.10 and 12,308.37 is: 18,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,603.85 : 57,905.10 = 12,308.37 : x
  2. Step 2: Convert to fraction form
    38,603.85/57,905.10 = 12,308.37/x
  3. Step 3: Cross multiply
    38,603.85x = 57,905.10 × 12,308.37
  4. Step 4: Simplify right side
    38,603.85x = 712,717,395.69
  5. Step 5: Solve for x
    x = 712,717,395.69/38,603.85
  6. Step 6: Final answer
    x = 18,462.34

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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.