Home / 7,638.24-11,457.70-2,091.46

Finding the Fourth Proportional to 7,638.24, 11,457.70 and 2,091.46

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Solution

The fourth proportional to 7,638.24, 11,457.70 and 2,091.46 is: 3,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.24 : 11,457.70 = 2,091.46 : x
  2. Step 2: Convert to fraction form
    7,638.24/11,457.70 = 2,091.46/x
  3. Step 3: Cross multiply
    7,638.24x = 11,457.70 × 2,091.46
  4. Step 4: Simplify right side
    7,638.24x = 23,963,321.24
  5. Step 5: Solve for x
    x = 23,963,321.24/7,638.24
  6. Step 6: Final answer
    x = 3,137.28

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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.