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Finding the Fourth Proportional to 2,163.84, 3,246.05 and 777.33

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Solution

The fourth proportional to 2,163.84, 3,246.05 and 777.33 is: 1,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.84 : 3,246.05 = 777.33 : x
  2. Step 2: Convert to fraction form
    2,163.84/3,246.05 = 777.33/x
  3. Step 3: Cross multiply
    2,163.84x = 3,246.05 × 777.33
  4. Step 4: Simplify right side
    2,163.84x = 2,523,261.79
  5. Step 5: Solve for x
    x = 2,523,261.79/2,163.84
  6. Step 6: Final answer
    x = 1,166.10

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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.