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Finding the Fourth Proportional to 6,457.70, 8,912.02 and 3,626

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Solution

The fourth proportional to 6,457.70, 8,912.02 and 3,626 is: 5,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.70 : 8,912.02 = 3,626 : x
  2. Step 2: Convert to fraction form
    6,457.70/8,912.02 = 3,626/x
  3. Step 3: Cross multiply
    6,457.70x = 8,912.02 × 3,626
  4. Step 4: Simplify right side
    6,457.70x = 32,314,984.52
  5. Step 5: Solve for x
    x = 32,314,984.52/6,457.70
  6. Step 6: Final answer
    x = 5,004.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.