Home / 2,431.16-3,646.74-699.78

Finding the Fourth Proportional to 2,431.16, 3,646.74 and 699.78

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Solution

The fourth proportional to 2,431.16, 3,646.74 and 699.78 is: 1,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.16 : 3,646.74 = 699.78 : x
  2. Step 2: Convert to fraction form
    2,431.16/3,646.74 = 699.78/x
  3. Step 3: Cross multiply
    2,431.16x = 3,646.74 × 699.78
  4. Step 4: Simplify right side
    2,431.16x = 2,551,915.72
  5. Step 5: Solve for x
    x = 2,551,915.72/2,431.16
  6. Step 6: Final answer
    x = 1,049.67

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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.