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Finding the Fourth Proportional to 10,085, 13,917.30 and 5,669

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Solution

The fourth proportional to 10,085, 13,917.30 and 5,669 is: 7,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085 : 13,917.30 = 5,669 : x
  2. Step 2: Convert to fraction form
    10,085/13,917.30 = 5,669/x
  3. Step 3: Cross multiply
    10,085x = 13,917.30 × 5,669
  4. Step 4: Simplify right side
    10,085x = 78,897,173.70
  5. Step 5: Solve for x
    x = 78,897,173.70/10,085
  6. Step 6: Final answer
    x = 7,823.22

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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.