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Finding the Fourth Proportional to 25,108, 37,664.16 and 6,640

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Solution

The fourth proportional to 25,108, 37,664.16 and 6,640 is: 9,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,108 : 37,664.16 = 6,640 : x
  2. Step 2: Convert to fraction form
    25,108/37,664.16 = 6,640/x
  3. Step 3: Cross multiply
    25,108x = 37,664.16 × 6,640
  4. Step 4: Simplify right side
    25,108x = 250,090,022.40
  5. Step 5: Solve for x
    x = 250,090,022.40/25,108
  6. Step 6: Final answer
    x = 9,960.57

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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.