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Finding the Fourth Proportional to 10,563.78, 15,842.43 and 7,297.86

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Solution

The fourth proportional to 10,563.78, 15,842.43 and 7,297.86 is: 10,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.78 : 15,842.43 = 7,297.86 : x
  2. Step 2: Convert to fraction form
    10,563.78/15,842.43 = 7,297.86/x
  3. Step 3: Cross multiply
    10,563.78x = 15,842.43 × 7,297.86
  4. Step 4: Simplify right side
    10,563.78x = 115,615,836.20
  5. Step 5: Solve for x
    x = 115,615,836.20/10,563.78
  6. Step 6: Final answer
    x = 10,944.55

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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.