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Finding the Fourth Proportional to 2,164.13, 3,246.86 and 777.43

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Solution

The fourth proportional to 2,164.13, 3,246.86 and 777.43 is: 1,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.13 : 3,246.86 = 777.43 : x
  2. Step 2: Convert to fraction form
    2,164.13/3,246.86 = 777.43/x
  3. Step 3: Cross multiply
    2,164.13x = 3,246.86 × 777.43
  4. Step 4: Simplify right side
    2,164.13x = 2,524,206.37
  5. Step 5: Solve for x
    x = 2,524,206.37/2,164.13
  6. Step 6: Final answer
    x = 1,166.38

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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.