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Finding the Fourth Proportional to 8,512.99, 11,748.26 and 5,153.90

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Solution

The fourth proportional to 8,512.99, 11,748.26 and 5,153.90 is: 7,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.99 : 11,748.26 = 5,153.90 : x
  2. Step 2: Convert to fraction form
    8,512.99/11,748.26 = 5,153.90/x
  3. Step 3: Cross multiply
    8,512.99x = 11,748.26 × 5,153.90
  4. Step 4: Simplify right side
    8,512.99x = 60,549,311.36
  5. Step 5: Solve for x
    x = 60,549,311.36/8,512.99
  6. Step 6: Final answer
    x = 7,112.58

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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.