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Finding the Fourth Proportional to 1,401.74, 2,102.93 and 991.68

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Solution

The fourth proportional to 1,401.74, 2,102.93 and 991.68 is: 1,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.74 : 2,102.93 = 991.68 : x
  2. Step 2: Convert to fraction form
    1,401.74/2,102.93 = 991.68/x
  3. Step 3: Cross multiply
    1,401.74x = 2,102.93 × 991.68
  4. Step 4: Simplify right side
    1,401.74x = 2,085,433.62
  5. Step 5: Solve for x
    x = 2,085,433.62/1,401.74
  6. Step 6: Final answer
    x = 1,487.75

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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.