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Finding the Fourth Proportional to 1,121.77, 1,544.70 and 1,096.21

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Solution

The fourth proportional to 1,121.77, 1,544.70 and 1,096.21 is: 1,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.77 : 1,544.70 = 1,096.21 : x
  2. Step 2: Convert to fraction form
    1,121.77/1,544.70 = 1,096.21/x
  3. Step 3: Cross multiply
    1,121.77x = 1,544.70 × 1,096.21
  4. Step 4: Simplify right side
    1,121.77x = 1,693,315.59
  5. Step 5: Solve for x
    x = 1,693,315.59/1,121.77
  6. Step 6: Final answer
    x = 1,509.50

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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.