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Finding the Fourth Proportional to 2,332.80, 3,219 and 1,338.02

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Solution

The fourth proportional to 2,332.80, 3,219 and 1,338.02 is: 1,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.80 : 3,219 = 1,338.02 : x
  2. Step 2: Convert to fraction form
    2,332.80/3,219 = 1,338.02/x
  3. Step 3: Cross multiply
    2,332.80x = 3,219 × 1,338.02
  4. Step 4: Simplify right side
    2,332.80x = 4,307,086.38
  5. Step 5: Solve for x
    x = 4,307,086.38/2,332.80
  6. Step 6: Final answer
    x = 1,846.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.