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Finding the Fourth Proportional to 30,514.59, 45,771.89 and 8,327.48

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Solution

The fourth proportional to 30,514.59, 45,771.89 and 8,327.48 is: 12,491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.59 : 45,771.89 = 8,327.48 : x
  2. Step 2: Convert to fraction form
    30,514.59/45,771.89 = 8,327.48/x
  3. Step 3: Cross multiply
    30,514.59x = 45,771.89 × 8,327.48
  4. Step 4: Simplify right side
    30,514.59x = 381,164,228.04
  5. Step 5: Solve for x
    x = 381,164,228.04/30,514.59
  6. Step 6: Final answer
    x = 12,491.21

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1.5x scale

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.