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Finding the Fourth Proportional to 18,029, 24,878.72 and 10,857.54

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Solution

The fourth proportional to 18,029, 24,878.72 and 10,857.54 is: 14,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,029 : 24,878.72 = 10,857.54 : x
  2. Step 2: Convert to fraction form
    18,029/24,878.72 = 10,857.54/x
  3. Step 3: Cross multiply
    18,029x = 24,878.72 × 10,857.54
  4. Step 4: Simplify right side
    18,029x = 270,121,697.55
  5. Step 5: Solve for x
    x = 270,121,697.55/18,029
  6. Step 6: Final answer
    x = 14,982.62

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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.