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Finding the Fourth Proportional to 1,393.42, 2,097.11 and 1,048.54

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Solution

The fourth proportional to 1,393.42, 2,097.11 and 1,048.54 is: 1,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.42 : 2,097.11 = 1,048.54 : x
  2. Step 2: Convert to fraction form
    1,393.42/2,097.11 = 1,048.54/x
  3. Step 3: Cross multiply
    1,393.42x = 2,097.11 × 1,048.54
  4. Step 4: Simplify right side
    1,393.42x = 2,198,903.72
  5. Step 5: Solve for x
    x = 2,198,903.72/1,393.42
  6. Step 6: Final answer
    x = 1,578.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.