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Finding the Fourth Proportional to 2,164.52, 3,246.44 and 777.64

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Solution

The fourth proportional to 2,164.52, 3,246.44 and 777.64 is: 1,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.52 : 3,246.44 = 777.64 : x
  2. Step 2: Convert to fraction form
    2,164.52/3,246.44 = 777.64/x
  3. Step 3: Cross multiply
    2,164.52x = 3,246.44 × 777.64
  4. Step 4: Simplify right side
    2,164.52x = 2,524,561.60
  5. Step 5: Solve for x
    x = 2,524,561.60/2,164.52
  6. Step 6: Final answer
    x = 1,166.34

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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.