Home / 1,226.57-1,827.46-1,164.61

Finding the Fourth Proportional to 1,226.57, 1,827.46 and 1,164.61

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Solution

The fourth proportional to 1,226.57, 1,827.46 and 1,164.61 is: 1,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.57 : 1,827.46 = 1,164.61 : x
  2. Step 2: Convert to fraction form
    1,226.57/1,827.46 = 1,164.61/x
  3. Step 3: Cross multiply
    1,226.57x = 1,827.46 × 1,164.61
  4. Step 4: Simplify right side
    1,226.57x = 2,128,270.71
  5. Step 5: Solve for x
    x = 2,128,270.71/1,226.57
  6. Step 6: Final answer
    x = 1,735.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.