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Finding the Fourth Proportional to 37,728, 52,066.26 and 20,961

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Solution

The fourth proportional to 37,728, 52,066.26 and 20,961 is: 28,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728 : 52,066.26 = 20,961 : x
  2. Step 2: Convert to fraction form
    37,728/52,066.26 = 20,961/x
  3. Step 3: Cross multiply
    37,728x = 52,066.26 × 20,961
  4. Step 4: Simplify right side
    37,728x = 1,091,360,875.86
  5. Step 5: Solve for x
    x = 1,091,360,875.86/37,728
  6. Step 6: Final answer
    x = 28,927.08

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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.