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Finding the Fourth Proportional to 10,538, 15,809.94 and 3,142.70

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Solution

The fourth proportional to 10,538, 15,809.94 and 3,142.70 is: 4,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538 : 15,809.94 = 3,142.70 : x
  2. Step 2: Convert to fraction form
    10,538/15,809.94 = 3,142.70/x
  3. Step 3: Cross multiply
    10,538x = 15,809.94 × 3,142.70
  4. Step 4: Simplify right side
    10,538x = 49,685,898.44
  5. Step 5: Solve for x
    x = 49,685,898.44/10,538
  6. Step 6: Final answer
    x = 4,714.93

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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.