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Finding the Fourth Proportional to 39,638.70, 59,447.52 and 13,338

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Solution

The fourth proportional to 39,638.70, 59,447.52 and 13,338 is: 20,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,638.70 : 59,447.52 = 13,338 : x
  2. Step 2: Convert to fraction form
    39,638.70/59,447.52 = 13,338/x
  3. Step 3: Cross multiply
    39,638.70x = 59,447.52 × 13,338
  4. Step 4: Simplify right side
    39,638.70x = 792,911,021.76
  5. Step 5: Solve for x
    x = 792,911,021.76/39,638.70
  6. Step 6: Final answer
    x = 20,003.46

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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.