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Finding the Fourth Proportional to 5,477.66, 8,214.62 and 1,778.97

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Solution

The fourth proportional to 5,477.66, 8,214.62 and 1,778.97 is: 2,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.66 : 8,214.62 = 1,778.97 : x
  2. Step 2: Convert to fraction form
    5,477.66/8,214.62 = 1,778.97/x
  3. Step 3: Cross multiply
    5,477.66x = 8,214.62 × 1,778.97
  4. Step 4: Simplify right side
    5,477.66x = 14,613,576.36
  5. Step 5: Solve for x
    x = 14,613,576.36/5,477.66
  6. Step 6: Final answer
    x = 2,667.85

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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.