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Finding the Fourth Proportional to 1,409.58, 1,954.35 and 1,325.79

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Solution

The fourth proportional to 1,409.58, 1,954.35 and 1,325.79 is: 1,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.58 : 1,954.35 = 1,325.79 : x
  2. Step 2: Convert to fraction form
    1,409.58/1,954.35 = 1,325.79/x
  3. Step 3: Cross multiply
    1,409.58x = 1,954.35 × 1,325.79
  4. Step 4: Simplify right side
    1,409.58x = 2,591,057.69
  5. Step 5: Solve for x
    x = 2,591,057.69/1,409.58
  6. Step 6: Final answer
    x = 1,838.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.