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Finding the Fourth Proportional to 5,747.78, 8,620.08 and 1,586.81

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Solution

The fourth proportional to 5,747.78, 8,620.08 and 1,586.81 is: 2,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.78 : 8,620.08 = 1,586.81 : x
  2. Step 2: Convert to fraction form
    5,747.78/8,620.08 = 1,586.81/x
  3. Step 3: Cross multiply
    5,747.78x = 8,620.08 × 1,586.81
  4. Step 4: Simplify right side
    5,747.78x = 13,678,429.14
  5. Step 5: Solve for x
    x = 13,678,429.14/5,747.78
  6. Step 6: Final answer
    x = 2,379.78

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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.