Home / 1,188.14-1,783.49-1,102.41

Finding the Fourth Proportional to 1,188.14, 1,783.49 and 1,102.41

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Solution

The fourth proportional to 1,188.14, 1,783.49 and 1,102.41 is: 1,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.14 : 1,783.49 = 1,102.41 : x
  2. Step 2: Convert to fraction form
    1,188.14/1,783.49 = 1,102.41/x
  3. Step 3: Cross multiply
    1,188.14x = 1,783.49 × 1,102.41
  4. Step 4: Simplify right side
    1,188.14x = 1,966,131.70
  5. Step 5: Solve for x
    x = 1,966,131.70/1,188.14
  6. Step 6: Final answer
    x = 1,654.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.