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Finding the Fourth Proportional to 18,770, 28,164.72 and 9,536

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Solution

The fourth proportional to 18,770, 28,164.72 and 9,536 is: 14,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,770 : 28,164.72 = 9,536 : x
  2. Step 2: Convert to fraction form
    18,770/28,164.72 = 9,536/x
  3. Step 3: Cross multiply
    18,770x = 28,164.72 × 9,536
  4. Step 4: Simplify right side
    18,770x = 268,578,769.92
  5. Step 5: Solve for x
    x = 268,578,769.92/18,770
  6. Step 6: Final answer
    x = 14,308.94

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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.