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Finding the Fourth Proportional to 10,462.64, 15,693.48 and 3,067.20

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Solution

The fourth proportional to 10,462.64, 15,693.48 and 3,067.20 is: 4,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.64 : 15,693.48 = 3,067.20 : x
  2. Step 2: Convert to fraction form
    10,462.64/15,693.48 = 3,067.20/x
  3. Step 3: Cross multiply
    10,462.64x = 15,693.48 × 3,067.20
  4. Step 4: Simplify right side
    10,462.64x = 48,135,041.86
  5. Step 5: Solve for x
    x = 48,135,041.86/10,462.64
  6. Step 6: Final answer
    x = 4,600.66

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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.