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Finding the Fourth Proportional to 1,193.82, 1,643.72 and 1,084.47

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Solution

The fourth proportional to 1,193.82, 1,643.72 and 1,084.47 is: 1,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.82 : 1,643.72 = 1,084.47 : x
  2. Step 2: Convert to fraction form
    1,193.82/1,643.72 = 1,084.47/x
  3. Step 3: Cross multiply
    1,193.82x = 1,643.72 × 1,084.47
  4. Step 4: Simplify right side
    1,193.82x = 1,782,565.03
  5. Step 5: Solve for x
    x = 1,782,565.03/1,193.82
  6. Step 6: Final answer
    x = 1,493.16

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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.