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Finding the Fourth Proportional to 30,334.64, 45,471 and 19,249.52

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Solution

The fourth proportional to 30,334.64, 45,471 and 19,249.52 is: 28,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,334.64 : 45,471 = 19,249.52 : x
  2. Step 2: Convert to fraction form
    30,334.64/45,471 = 19,249.52/x
  3. Step 3: Cross multiply
    30,334.64x = 45,471 × 19,249.52
  4. Step 4: Simplify right side
    30,334.64x = 875,294,923.92
  5. Step 5: Solve for x
    x = 875,294,923.92/30,334.64
  6. Step 6: Final answer
    x = 28,854.63

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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.