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Finding the Fourth Proportional to 1,735.70, 2,393.54 and 1,072.42

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Solution

The fourth proportional to 1,735.70, 2,393.54 and 1,072.42 is: 1,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.70 : 2,393.54 = 1,072.42 : x
  2. Step 2: Convert to fraction form
    1,735.70/2,393.54 = 1,072.42/x
  3. Step 3: Cross multiply
    1,735.70x = 2,393.54 × 1,072.42
  4. Step 4: Simplify right side
    1,735.70x = 2,566,880.17
  5. Step 5: Solve for x
    x = 2,566,880.17/1,735.70
  6. Step 6: Final answer
    x = 1,478.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.