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Finding the Fourth Proportional to 30,805.59, 46,201.57 and 8,613

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Solution

The fourth proportional to 30,805.59, 46,201.57 and 8,613 is: 12,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.59 : 46,201.57 = 8,613 : x
  2. Step 2: Convert to fraction form
    30,805.59/46,201.57 = 8,613/x
  3. Step 3: Cross multiply
    30,805.59x = 46,201.57 × 8,613
  4. Step 4: Simplify right side
    30,805.59x = 397,934,122.41
  5. Step 5: Solve for x
    x = 397,934,122.41/30,805.59
  6. Step 6: Final answer
    x = 12,917.59

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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.