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Finding the Fourth Proportional to 38,864, 58,296.52 and 12,209.12

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Solution

The fourth proportional to 38,864, 58,296.52 and 12,209.12 is: 18,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,864 : 58,296.52 = 12,209.12 : x
  2. Step 2: Convert to fraction form
    38,864/58,296.52 = 12,209.12/x
  3. Step 3: Cross multiply
    38,864x = 58,296.52 × 12,209.12
  4. Step 4: Simplify right side
    38,864x = 711,749,208.26
  5. Step 5: Solve for x
    x = 711,749,208.26/38,864
  6. Step 6: Final answer
    x = 18,313.84

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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.