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Finding the Fourth Proportional to 2,338.81, 3,509.10 and 1,106.43

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Solution

The fourth proportional to 2,338.81, 3,509.10 and 1,106.43 is: 1,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.81 : 3,509.10 = 1,106.43 : x
  2. Step 2: Convert to fraction form
    2,338.81/3,509.10 = 1,106.43/x
  3. Step 3: Cross multiply
    2,338.81x = 3,509.10 × 1,106.43
  4. Step 4: Simplify right side
    2,338.81x = 3,882,573.51
  5. Step 5: Solve for x
    x = 3,882,573.51/2,338.81
  6. Step 6: Final answer
    x = 1,660.06

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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.