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Finding the Fourth Proportional to 18,407, 25,399.63 and 10,449.29

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Solution

The fourth proportional to 18,407, 25,399.63 and 10,449.29 is: 14,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,407 : 25,399.63 = 10,449.29 : x
  2. Step 2: Convert to fraction form
    18,407/25,399.63 = 10,449.29/x
  3. Step 3: Cross multiply
    18,407x = 25,399.63 × 10,449.29
  4. Step 4: Simplify right side
    18,407x = 265,408,099.76
  5. Step 5: Solve for x
    x = 265,408,099.76/18,407
  6. Step 6: Final answer
    x = 14,418.87

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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.