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Finding the Fourth Proportional to 2,163.65, 3,245.54 and 977.81

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Solution

The fourth proportional to 2,163.65, 3,245.54 and 977.81 is: 1,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.65 : 3,245.54 = 977.81 : x
  2. Step 2: Convert to fraction form
    2,163.65/3,245.54 = 977.81/x
  3. Step 3: Cross multiply
    2,163.65x = 3,245.54 × 977.81
  4. Step 4: Simplify right side
    2,163.65x = 3,173,500.35
  5. Step 5: Solve for x
    x = 3,173,500.35/2,163.65
  6. Step 6: Final answer
    x = 1,466.74

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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.