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Finding the Fourth Proportional to 30,650.64, 45,950.90 and 15,863.78

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Solution

The fourth proportional to 30,650.64, 45,950.90 and 15,863.78 is: 23,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.64 : 45,950.90 = 15,863.78 : x
  2. Step 2: Convert to fraction form
    30,650.64/45,950.90 = 15,863.78/x
  3. Step 3: Cross multiply
    30,650.64x = 45,950.90 × 15,863.78
  4. Step 4: Simplify right side
    30,650.64x = 728,955,003.96
  5. Step 5: Solve for x
    x = 728,955,003.96/30,650.64
  6. Step 6: Final answer
    x = 23,782.70

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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.