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Finding the Fourth Proportional to 2,259.11, 3,387.83 and 777.92

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Solution

The fourth proportional to 2,259.11, 3,387.83 and 777.92 is: 1,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.11 : 3,387.83 = 777.92 : x
  2. Step 2: Convert to fraction form
    2,259.11/3,387.83 = 777.92/x
  3. Step 3: Cross multiply
    2,259.11x = 3,387.83 × 777.92
  4. Step 4: Simplify right side
    2,259.11x = 2,635,471.13
  5. Step 5: Solve for x
    x = 2,635,471.13/2,259.11
  6. Step 6: Final answer
    x = 1,166.60

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1.5x scale

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.