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Finding the Fourth Proportional to 30,117, 41,561.46 and 16,869

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Solution

The fourth proportional to 30,117, 41,561.46 and 16,869 is: 23,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,117 : 41,561.46 = 16,869 : x
  2. Step 2: Convert to fraction form
    30,117/41,561.46 = 16,869/x
  3. Step 3: Cross multiply
    30,117x = 41,561.46 × 16,869
  4. Step 4: Simplify right side
    30,117x = 701,100,268.74
  5. Step 5: Solve for x
    x = 701,100,268.74/30,117
  6. Step 6: Final answer
    x = 23,279.22

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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.