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Finding the Fourth Proportional to 18,787.50, 25,927.57 and 10,404

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Solution

The fourth proportional to 18,787.50, 25,927.57 and 10,404 is: 14,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,787.50 : 25,927.57 = 10,404 : x
  2. Step 2: Convert to fraction form
    18,787.50/25,927.57 = 10,404/x
  3. Step 3: Cross multiply
    18,787.50x = 25,927.57 × 10,404
  4. Step 4: Simplify right side
    18,787.50x = 269,750,386.26
  5. Step 5: Solve for x
    x = 269,750,386.26/18,787.50
  6. Step 6: Final answer
    x = 14,357.97

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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.