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Finding the Fourth Proportional to 30,147.84, 41,605.02 and 18,208.80

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Solution

The fourth proportional to 30,147.84, 41,605.02 and 18,208.80 is: 25,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147.84 : 41,605.02 = 18,208.80 : x
  2. Step 2: Convert to fraction form
    30,147.84/41,605.02 = 18,208.80/x
  3. Step 3: Cross multiply
    30,147.84x = 41,605.02 × 18,208.80
  4. Step 4: Simplify right side
    30,147.84x = 757,577,488.18
  5. Step 5: Solve for x
    x = 757,577,488.18/30,147.84
  6. Step 6: Final answer
    x = 25,128.75

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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.