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Finding the Fourth Proportional to 1,409.96, 2,103.46 and 1,373.71

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Solution

The fourth proportional to 1,409.96, 2,103.46 and 1,373.71 is: 2,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.96 : 2,103.46 = 1,373.71 : x
  2. Step 2: Convert to fraction form
    1,409.96/2,103.46 = 1,373.71/x
  3. Step 3: Cross multiply
    1,409.96x = 2,103.46 × 1,373.71
  4. Step 4: Simplify right side
    1,409.96x = 2,889,537.36
  5. Step 5: Solve for x
    x = 2,889,537.36/1,409.96
  6. Step 6: Final answer
    x = 2,049.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.