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Finding the Fourth Proportional to 3,658.59, 5,048.87 and 2,086.65

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Solution

The fourth proportional to 3,658.59, 5,048.87 and 2,086.65 is: 2,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.59 : 5,048.87 = 2,086.65 : x
  2. Step 2: Convert to fraction form
    3,658.59/5,048.87 = 2,086.65/x
  3. Step 3: Cross multiply
    3,658.59x = 5,048.87 × 2,086.65
  4. Step 4: Simplify right side
    3,658.59x = 10,535,214.15
  5. Step 5: Solve for x
    x = 10,535,214.15/3,658.59
  6. Step 6: Final answer
    x = 2,879.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.