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Finding the Fourth Proportional to 5,165.45, 7,748.86 and 1,879.48

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Solution

The fourth proportional to 5,165.45, 7,748.86 and 1,879.48 is: 2,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.45 : 7,748.86 = 1,879.48 : x
  2. Step 2: Convert to fraction form
    5,165.45/7,748.86 = 1,879.48/x
  3. Step 3: Cross multiply
    5,165.45x = 7,748.86 × 1,879.48
  4. Step 4: Simplify right side
    5,165.45x = 14,563,827.39
  5. Step 5: Solve for x
    x = 14,563,827.39/5,165.45
  6. Step 6: Final answer
    x = 2,819.47

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1.5x scale

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.