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Finding the Fourth Proportional to 30,147.80, 41,605 and 18,208.76

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Solution

The fourth proportional to 30,147.80, 41,605 and 18,208.76 is: 25,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147.80 : 41,605 = 18,208.76 : x
  2. Step 2: Convert to fraction form
    30,147.80/41,605 = 18,208.76/x
  3. Step 3: Cross multiply
    30,147.80x = 41,605 × 18,208.76
  4. Step 4: Simplify right side
    30,147.80x = 757,575,459.80
  5. Step 5: Solve for x
    x = 757,575,459.80/30,147.80
  6. Step 6: Final answer
    x = 25,128.71

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Double scale
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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.