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Finding the Fourth Proportional to 5,586, 8,379.68 and 4,216.56

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Solution

The fourth proportional to 5,586, 8,379.68 and 4,216.56 is: 6,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586 : 8,379.68 = 4,216.56 : x
  2. Step 2: Convert to fraction form
    5,586/8,379.68 = 4,216.56/x
  3. Step 3: Cross multiply
    5,586x = 8,379.68 × 4,216.56
  4. Step 4: Simplify right side
    5,586x = 35,333,423.50
  5. Step 5: Solve for x
    x = 35,333,423.50/5,586
  6. Step 6: Final answer
    x = 6,325.35

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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.