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Finding the Fourth Proportional to 4,498.86, 6,748.29 and 1,420.86

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Solution

The fourth proportional to 4,498.86, 6,748.29 and 1,420.86 is: 2,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.86 : 6,748.29 = 1,420.86 : x
  2. Step 2: Convert to fraction form
    4,498.86/6,748.29 = 1,420.86/x
  3. Step 3: Cross multiply
    4,498.86x = 6,748.29 × 1,420.86
  4. Step 4: Simplify right side
    4,498.86x = 9,588,375.33
  5. Step 5: Solve for x
    x = 9,588,375.33/4,498.86
  6. Step 6: Final answer
    x = 2,131.29

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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.