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Finding the Fourth Proportional to 37,031, 51,102.78 and 20,264

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Solution

The fourth proportional to 37,031, 51,102.78 and 20,264 is: 27,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,031 : 51,102.78 = 20,264 : x
  2. Step 2: Convert to fraction form
    37,031/51,102.78 = 20,264/x
  3. Step 3: Cross multiply
    37,031x = 51,102.78 × 20,264
  4. Step 4: Simplify right side
    37,031x = 1,035,546,733.92
  5. Step 5: Solve for x
    x = 1,035,546,733.92/37,031
  6. Step 6: Final answer
    x = 27,964.32

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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.