Home / 1,447.19-2,169.56-983.66

Finding the Fourth Proportional to 1,447.19, 2,169.56 and 983.66

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Solution

The fourth proportional to 1,447.19, 2,169.56 and 983.66 is: 1,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.19 : 2,169.56 = 983.66 : x
  2. Step 2: Convert to fraction form
    1,447.19/2,169.56 = 983.66/x
  3. Step 3: Cross multiply
    1,447.19x = 2,169.56 × 983.66
  4. Step 4: Simplify right side
    1,447.19x = 2,134,112.35
  5. Step 5: Solve for x
    x = 2,134,112.35/1,447.19
  6. Step 6: Final answer
    x = 1,474.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.