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Finding the Fourth Proportional to 1,340.76, 1,849.26 and 986.79

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Solution

The fourth proportional to 1,340.76, 1,849.26 and 986.79 is: 1,361.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.76 : 1,849.26 = 986.79 : x
  2. Step 2: Convert to fraction form
    1,340.76/1,849.26 = 986.79/x
  3. Step 3: Cross multiply
    1,340.76x = 1,849.26 × 986.79
  4. Step 4: Simplify right side
    1,340.76x = 1,824,831.28
  5. Step 5: Solve for x
    x = 1,824,831.28/1,340.76
  6. Step 6: Final answer
    x = 1,361.04

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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.