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Finding the Fourth Proportional to 1,569.81, 2,353.80 and 1,338.81

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Solution

The fourth proportional to 1,569.81, 2,353.80 and 1,338.81 is: 2,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.81 : 2,353.80 = 1,338.81 : x
  2. Step 2: Convert to fraction form
    1,569.81/2,353.80 = 1,338.81/x
  3. Step 3: Cross multiply
    1,569.81x = 2,353.80 × 1,338.81
  4. Step 4: Simplify right side
    1,569.81x = 3,151,290.98
  5. Step 5: Solve for x
    x = 3,151,290.98/1,569.81
  6. Step 6: Final answer
    x = 2,007.43

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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.