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Finding the Fourth Proportional to 29,085, 40,147.34 and 17,147.62

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Solution

The fourth proportional to 29,085, 40,147.34 and 17,147.62 is: 23,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,085 : 40,147.34 = 17,147.62 : x
  2. Step 2: Convert to fraction form
    29,085/40,147.34 = 17,147.62/x
  3. Step 3: Cross multiply
    29,085x = 40,147.34 × 17,147.62
  4. Step 4: Simplify right side
    29,085x = 688,431,330.33
  5. Step 5: Solve for x
    x = 688,431,330.33/29,085
  6. Step 6: Final answer
    x = 23,669.63

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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.