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Finding the Fourth Proportional to 39,115, 58,682.22 and 11,413

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Solution

The fourth proportional to 39,115, 58,682.22 and 11,413 is: 17,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,115 : 58,682.22 = 11,413 : x
  2. Step 2: Convert to fraction form
    39,115/58,682.22 = 11,413/x
  3. Step 3: Cross multiply
    39,115x = 58,682.22 × 11,413
  4. Step 4: Simplify right side
    39,115x = 669,740,176.86
  5. Step 5: Solve for x
    x = 669,740,176.86/39,115
  6. Step 6: Final answer
    x = 17,122.34

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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.