Home / 1,314.92-1,962.73-1,142.80

Finding the Fourth Proportional to 1,314.92, 1,962.73 and 1,142.80

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Solution

The fourth proportional to 1,314.92, 1,962.73 and 1,142.80 is: 1,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.92 : 1,962.73 = 1,142.80 : x
  2. Step 2: Convert to fraction form
    1,314.92/1,962.73 = 1,142.80/x
  3. Step 3: Cross multiply
    1,314.92x = 1,962.73 × 1,142.80
  4. Step 4: Simplify right side
    1,314.92x = 2,243,007.84
  5. Step 5: Solve for x
    x = 2,243,007.84/1,314.92
  6. Step 6: Final answer
    x = 1,705.81

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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.