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Finding the Fourth Proportional to 10,239, 15,359.71 and 2,843.70

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Solution

The fourth proportional to 10,239, 15,359.71 and 2,843.70 is: 4,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239 : 15,359.71 = 2,843.70 : x
  2. Step 2: Convert to fraction form
    10,239/15,359.71 = 2,843.70/x
  3. Step 3: Cross multiply
    10,239x = 15,359.71 × 2,843.70
  4. Step 4: Simplify right side
    10,239x = 43,678,407.33
  5. Step 5: Solve for x
    x = 43,678,407.33/10,239
  6. Step 6: Final answer
    x = 4,265.89

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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.