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Finding the Fourth Proportional to 30,077.39, 41,508.05 and 16,648.40

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Solution

The fourth proportional to 30,077.39, 41,508.05 and 16,648.40 is: 22,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.39 : 41,508.05 = 16,648.40 : x
  2. Step 2: Convert to fraction form
    30,077.39/41,508.05 = 16,648.40/x
  3. Step 3: Cross multiply
    30,077.39x = 41,508.05 × 16,648.40
  4. Step 4: Simplify right side
    30,077.39x = 691,042,640.15
  5. Step 5: Solve for x
    x = 691,042,640.15/30,077.39
  6. Step 6: Final answer
    x = 22,975.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.