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Finding the Fourth Proportional to 29,510, 40,738.89 and 20,000.13

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Solution

The fourth proportional to 29,510, 40,738.89 and 20,000.13 is: 27,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,510 : 40,738.89 = 20,000.13 : x
  2. Step 2: Convert to fraction form
    29,510/40,738.89 = 20,000.13/x
  3. Step 3: Cross multiply
    29,510x = 40,738.89 × 20,000.13
  4. Step 4: Simplify right side
    29,510x = 814,783,096.06
  5. Step 5: Solve for x
    x = 814,783,096.06/29,510
  6. Step 6: Final answer
    x = 27,610.41

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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.