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Finding the Fourth Proportional to 1,337.06, 2,007.53 and 1,107.41

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Solution

The fourth proportional to 1,337.06, 2,007.53 and 1,107.41 is: 1,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.06 : 2,007.53 = 1,107.41 : x
  2. Step 2: Convert to fraction form
    1,337.06/2,007.53 = 1,107.41/x
  3. Step 3: Cross multiply
    1,337.06x = 2,007.53 × 1,107.41
  4. Step 4: Simplify right side
    1,337.06x = 2,223,143.22
  5. Step 5: Solve for x
    x = 2,223,143.22/1,337.06
  6. Step 6: Final answer
    x = 1,662.72

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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.