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Finding the Fourth Proportional to 3,395.71, 4,686.50 and 2,069.61

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Solution

The fourth proportional to 3,395.71, 4,686.50 and 2,069.61 is: 2,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.71 : 4,686.50 = 2,069.61 : x
  2. Step 2: Convert to fraction form
    3,395.71/4,686.50 = 2,069.61/x
  3. Step 3: Cross multiply
    3,395.71x = 4,686.50 × 2,069.61
  4. Step 4: Simplify right side
    3,395.71x = 9,699,227.27
  5. Step 5: Solve for x
    x = 9,699,227.27/3,395.71
  6. Step 6: Final answer
    x = 2,856.32

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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.