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Finding the Fourth Proportional to 26,480.81, 39,724.94 and 7,762.19

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Solution

The fourth proportional to 26,480.81, 39,724.94 and 7,762.19 is: 11,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,480.81 : 39,724.94 = 7,762.19 : x
  2. Step 2: Convert to fraction form
    26,480.81/39,724.94 = 7,762.19/x
  3. Step 3: Cross multiply
    26,480.81x = 39,724.94 × 7,762.19
  4. Step 4: Simplify right side
    26,480.81x = 308,352,352.80
  5. Step 5: Solve for x
    x = 308,352,352.80/26,480.81
  6. Step 6: Final answer
    x = 11,644.37

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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.