Home / 1,181.40-1,780.95-1,102.11

Finding the Fourth Proportional to 1,181.40, 1,780.95 and 1,102.11

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Solution

The fourth proportional to 1,181.40, 1,780.95 and 1,102.11 is: 1,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.40 : 1,780.95 = 1,102.11 : x
  2. Step 2: Convert to fraction form
    1,181.40/1,780.95 = 1,102.11/x
  3. Step 3: Cross multiply
    1,181.40x = 1,780.95 × 1,102.11
  4. Step 4: Simplify right side
    1,181.40x = 1,962,802.80
  5. Step 5: Solve for x
    x = 1,962,802.80/1,181.40
  6. Step 6: Final answer
    x = 1,661.42

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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.