Home / 2,409.95-3,615.84-949.22

Finding the Fourth Proportional to 2,409.95, 3,615.84 and 949.22

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Solution

The fourth proportional to 2,409.95, 3,615.84 and 949.22 is: 1,424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.95 : 3,615.84 = 949.22 : x
  2. Step 2: Convert to fraction form
    2,409.95/3,615.84 = 949.22/x
  3. Step 3: Cross multiply
    2,409.95x = 3,615.84 × 949.22
  4. Step 4: Simplify right side
    2,409.95x = 3,432,223.13
  5. Step 5: Solve for x
    x = 3,432,223.13/2,409.95
  6. Step 6: Final answer
    x = 1,424.19

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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.