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Finding the Fourth Proportional to 28,672, 43,009.62 and 10,204

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Solution

The fourth proportional to 28,672, 43,009.62 and 10,204 is: 15,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,672 : 43,009.62 = 10,204 : x
  2. Step 2: Convert to fraction form
    28,672/43,009.62 = 10,204/x
  3. Step 3: Cross multiply
    28,672x = 43,009.62 × 10,204
  4. Step 4: Simplify right side
    28,672x = 438,870,162.48
  5. Step 5: Solve for x
    x = 438,870,162.48/28,672
  6. Step 6: Final answer
    x = 15,306.58

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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.