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Finding the Fourth Proportional to 39,008, 58,512 and 11,306.24

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Solution

The fourth proportional to 39,008, 58,512 and 11,306.24 is: 16,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,008 : 58,512 = 11,306.24 : x
  2. Step 2: Convert to fraction form
    39,008/58,512 = 11,306.24/x
  3. Step 3: Cross multiply
    39,008x = 58,512 × 11,306.24
  4. Step 4: Simplify right side
    39,008x = 661,550,714.88
  5. Step 5: Solve for x
    x = 661,550,714.88/39,008
  6. Step 6: Final answer
    x = 16,959.36

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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.