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Finding the Fourth Proportional to 3,586.79, 5,377.98 and 1,245.79

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Solution

The fourth proportional to 3,586.79, 5,377.98 and 1,245.79 is: 1,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.79 : 5,377.98 = 1,245.79 : x
  2. Step 2: Convert to fraction form
    3,586.79/5,377.98 = 1,245.79/x
  3. Step 3: Cross multiply
    3,586.79x = 5,377.98 × 1,245.79
  4. Step 4: Simplify right side
    3,586.79x = 6,699,828.22
  5. Step 5: Solve for x
    x = 6,699,828.22/3,586.79
  6. Step 6: Final answer
    x = 1,867.92

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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.