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Finding the Fourth Proportional to 10,239, 14,129.82 and 5,823

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Solution

The fourth proportional to 10,239, 14,129.82 and 5,823 is: 8,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239 : 14,129.82 = 5,823 : x
  2. Step 2: Convert to fraction form
    10,239/14,129.82 = 5,823/x
  3. Step 3: Cross multiply
    10,239x = 14,129.82 × 5,823
  4. Step 4: Simplify right side
    10,239x = 82,277,941.86
  5. Step 5: Solve for x
    x = 82,277,941.86/10,239
  6. Step 6: Final answer
    x = 8,035.74

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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.