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Finding the Fourth Proportional to 5,164.58, 7,741.68 and 1,876.79

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Solution

The fourth proportional to 5,164.58, 7,741.68 and 1,876.79 is: 2,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.58 : 7,741.68 = 1,876.79 : x
  2. Step 2: Convert to fraction form
    5,164.58/7,741.68 = 1,876.79/x
  3. Step 3: Cross multiply
    5,164.58x = 7,741.68 × 1,876.79
  4. Step 4: Simplify right side
    5,164.58x = 14,529,468.90
  5. Step 5: Solve for x
    x = 14,529,468.90/5,164.58
  6. Step 6: Final answer
    x = 2,813.29

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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.