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Finding the Fourth Proportional to 18,343.44, 25,314.84 and 10,386

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Solution

The fourth proportional to 18,343.44, 25,314.84 and 10,386 is: 14,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,343.44 : 25,314.84 = 10,386 : x
  2. Step 2: Convert to fraction form
    18,343.44/25,314.84 = 10,386/x
  3. Step 3: Cross multiply
    18,343.44x = 25,314.84 × 10,386
  4. Step 4: Simplify right side
    18,343.44x = 262,919,928.24
  5. Step 5: Solve for x
    x = 262,919,928.24/18,343.44
  6. Step 6: Final answer
    x = 14,333.19

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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.