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Finding the Fourth Proportional to 40,824, 61,246.24 and 11,640

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Solution

The fourth proportional to 40,824, 61,246.24 and 11,640 is: 17,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,824 : 61,246.24 = 11,640 : x
  2. Step 2: Convert to fraction form
    40,824/61,246.24 = 11,640/x
  3. Step 3: Cross multiply
    40,824x = 61,246.24 × 11,640
  4. Step 4: Simplify right side
    40,824x = 712,906,233.60
  5. Step 5: Solve for x
    x = 712,906,233.60/40,824
  6. Step 6: Final answer
    x = 17,462.92

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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.