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Finding the Fourth Proportional to 5,642.78, 8,464.05 and 1,944.92

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Solution

The fourth proportional to 5,642.78, 8,464.05 and 1,944.92 is: 2,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.78 : 8,464.05 = 1,944.92 : x
  2. Step 2: Convert to fraction form
    5,642.78/8,464.05 = 1,944.92/x
  3. Step 3: Cross multiply
    5,642.78x = 8,464.05 × 1,944.92
  4. Step 4: Simplify right side
    5,642.78x = 16,461,921.29
  5. Step 5: Solve for x
    x = 16,461,921.29/5,642.78
  6. Step 6: Final answer
    x = 2,917.34

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Double scale
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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.