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Finding the Fourth Proportional to 18,753.50, 25,880.64 and 10,370

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Solution

The fourth proportional to 18,753.50, 25,880.64 and 10,370 is: 14,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,753.50 : 25,880.64 = 10,370 : x
  2. Step 2: Convert to fraction form
    18,753.50/25,880.64 = 10,370/x
  3. Step 3: Cross multiply
    18,753.50x = 25,880.64 × 10,370
  4. Step 4: Simplify right side
    18,753.50x = 268,382,236.80
  5. Step 5: Solve for x
    x = 268,382,236.80/18,753.50
  6. Step 6: Final answer
    x = 14,311.05

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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.