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Finding the Fourth Proportional to 18,714, 25,825.38 and 10,330.50

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Solution

The fourth proportional to 18,714, 25,825.38 and 10,330.50 is: 14,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,714 : 25,825.38 = 10,330.50 : x
  2. Step 2: Convert to fraction form
    18,714/25,825.38 = 10,330.50/x
  3. Step 3: Cross multiply
    18,714x = 25,825.38 × 10,330.50
  4. Step 4: Simplify right side
    18,714x = 266,789,088.09
  5. Step 5: Solve for x
    x = 266,789,088.09/18,714
  6. Step 6: Final answer
    x = 14,256.12

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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.