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Finding the Fourth Proportional to 2,334.33, 3,501.74 and 690.87

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Solution

The fourth proportional to 2,334.33, 3,501.74 and 690.87 is: 1,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.33 : 3,501.74 = 690.87 : x
  2. Step 2: Convert to fraction form
    2,334.33/3,501.74 = 690.87/x
  3. Step 3: Cross multiply
    2,334.33x = 3,501.74 × 690.87
  4. Step 4: Simplify right side
    2,334.33x = 2,419,247.11
  5. Step 5: Solve for x
    x = 2,419,247.11/2,334.33
  6. Step 6: Final answer
    x = 1,036.38

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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.