Home / 1,691.74-2,334.28-983.67

Finding the Fourth Proportional to 1,691.74, 2,334.28 and 983.67

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Solution

The fourth proportional to 1,691.74, 2,334.28 and 983.67 is: 1,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.74 : 2,334.28 = 983.67 : x
  2. Step 2: Convert to fraction form
    1,691.74/2,334.28 = 983.67/x
  3. Step 3: Cross multiply
    1,691.74x = 2,334.28 × 983.67
  4. Step 4: Simplify right side
    1,691.74x = 2,296,161.21
  5. Step 5: Solve for x
    x = 2,296,161.21/1,691.74
  6. Step 6: Final answer
    x = 1,357.28

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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.