Home / 1,197.09-1,650.10-1,096.65

Finding the Fourth Proportional to 1,197.09, 1,650.10 and 1,096.65

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Solution

The fourth proportional to 1,197.09, 1,650.10 and 1,096.65 is: 1,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.09 : 1,650.10 = 1,096.65 : x
  2. Step 2: Convert to fraction form
    1,197.09/1,650.10 = 1,096.65/x
  3. Step 3: Cross multiply
    1,197.09x = 1,650.10 × 1,096.65
  4. Step 4: Simplify right side
    1,197.09x = 1,809,582.17
  5. Step 5: Solve for x
    x = 1,809,582.17/1,197.09
  6. Step 6: Final answer
    x = 1,511.65

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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.