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Finding the Fourth Proportional to 10,868, 14,997.84 and 5,900

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Solution

The fourth proportional to 10,868, 14,997.84 and 5,900 is: 8,142

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868 : 14,997.84 = 5,900 : x
  2. Step 2: Convert to fraction form
    10,868/14,997.84 = 5,900/x
  3. Step 3: Cross multiply
    10,868x = 14,997.84 × 5,900
  4. Step 4: Simplify right side
    10,868x = 88,487,256
  5. Step 5: Solve for x
    x = 88,487,256/10,868
  6. Step 6: Final answer
    x = 8,142

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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.