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Finding the Fourth Proportional to 30,242.74, 41,735.15 and 16,815.25

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Solution

The fourth proportional to 30,242.74, 41,735.15 and 16,815.25 is: 23,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242.74 : 41,735.15 = 16,815.25 : x
  2. Step 2: Convert to fraction form
    30,242.74/41,735.15 = 16,815.25/x
  3. Step 3: Cross multiply
    30,242.74x = 41,735.15 × 16,815.25
  4. Step 4: Simplify right side
    30,242.74x = 701,786,981.04
  5. Step 5: Solve for x
    x = 701,786,981.04/30,242.74
  6. Step 6: Final answer
    x = 23,205.14

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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.