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Finding the Fourth Proportional to 3,865.57, 5,332.11 and 3,415.99

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Solution

The fourth proportional to 3,865.57, 5,332.11 and 3,415.99 is: 4,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.57 : 5,332.11 = 3,415.99 : x
  2. Step 2: Convert to fraction form
    3,865.57/5,332.11 = 3,415.99/x
  3. Step 3: Cross multiply
    3,865.57x = 5,332.11 × 3,415.99
  4. Step 4: Simplify right side
    3,865.57x = 18,214,434.96
  5. Step 5: Solve for x
    x = 18,214,434.96/3,865.57
  6. Step 6: Final answer
    x = 4,711.97

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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.