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Finding the Fourth Proportional to 10,523.78, 15,782.90 and 4,975.64

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Solution

The fourth proportional to 10,523.78, 15,782.90 and 4,975.64 is: 7,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.78 : 15,782.90 = 4,975.64 : x
  2. Step 2: Convert to fraction form
    10,523.78/15,782.90 = 4,975.64/x
  3. Step 3: Cross multiply
    10,523.78x = 15,782.90 × 4,975.64
  4. Step 4: Simplify right side
    10,523.78x = 78,530,028.56
  5. Step 5: Solve for x
    x = 78,530,028.56/10,523.78
  6. Step 6: Final answer
    x = 7,462.15

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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.