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Finding the Fourth Proportional to 10,604.69, 15,905.23 and 2,814.29

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Solution

The fourth proportional to 10,604.69, 15,905.23 and 2,814.29 is: 4,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.69 : 15,905.23 = 2,814.29 : x
  2. Step 2: Convert to fraction form
    10,604.69/15,905.23 = 2,814.29/x
  3. Step 3: Cross multiply
    10,604.69x = 15,905.23 × 2,814.29
  4. Step 4: Simplify right side
    10,604.69x = 44,761,929.74
  5. Step 5: Solve for x
    x = 44,761,929.74/10,604.69
  6. Step 6: Final answer
    x = 4,220.96

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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.