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Finding the Fourth Proportional to 30,150, 41,608.20 and 17,405.16

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Solution

The fourth proportional to 30,150, 41,608.20 and 17,405.16 is: 24,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,150 : 41,608.20 = 17,405.16 : x
  2. Step 2: Convert to fraction form
    30,150/41,608.20 = 17,405.16/x
  3. Step 3: Cross multiply
    30,150x = 41,608.20 × 17,405.16
  4. Step 4: Simplify right side
    30,150x = 724,197,378.31
  5. Step 5: Solve for x
    x = 724,197,378.31/30,150
  6. Step 6: Final answer
    x = 24,019.81

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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.