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Finding the Fourth Proportional to 30,652.25, 45,978.31 and 8,465.57

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Solution

The fourth proportional to 30,652.25, 45,978.31 and 8,465.57 is: 12,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.25 : 45,978.31 = 8,465.57 : x
  2. Step 2: Convert to fraction form
    30,652.25/45,978.31 = 8,465.57/x
  3. Step 3: Cross multiply
    30,652.25x = 45,978.31 × 8,465.57
  4. Step 4: Simplify right side
    30,652.25x = 389,232,350.73
  5. Step 5: Solve for x
    x = 389,232,350.73/30,652.25
  6. Step 6: Final answer
    x = 12,698.33

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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.