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Finding the Fourth Proportional to 18,589.40, 27,858.76 and 10,257

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Solution

The fourth proportional to 18,589.40, 27,858.76 and 10,257 is: 15,371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.40 : 27,858.76 = 10,257 : x
  2. Step 2: Convert to fraction form
    18,589.40/27,858.76 = 10,257/x
  3. Step 3: Cross multiply
    18,589.40x = 27,858.76 × 10,257
  4. Step 4: Simplify right side
    18,589.40x = 285,747,301.32
  5. Step 5: Solve for x
    x = 285,747,301.32/18,589.40
  6. Step 6: Final answer
    x = 15,371.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.