Home / 1,403.84-1,932.90-1,193.60

Finding the Fourth Proportional to 1,403.84, 1,932.90 and 1,193.60

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Solution

The fourth proportional to 1,403.84, 1,932.90 and 1,193.60 is: 1,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.84 : 1,932.90 = 1,193.60 : x
  2. Step 2: Convert to fraction form
    1,403.84/1,932.90 = 1,193.60/x
  3. Step 3: Cross multiply
    1,403.84x = 1,932.90 × 1,193.60
  4. Step 4: Simplify right side
    1,403.84x = 2,307,109.44
  5. Step 5: Solve for x
    x = 2,307,109.44/1,403.84
  6. Step 6: Final answer
    x = 1,643.43

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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.