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Finding the Fourth Proportional to 37,224, 51,369.12 and 20,457

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Solution

The fourth proportional to 37,224, 51,369.12 and 20,457 is: 28,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,224 : 51,369.12 = 20,457 : x
  2. Step 2: Convert to fraction form
    37,224/51,369.12 = 20,457/x
  3. Step 3: Cross multiply
    37,224x = 51,369.12 × 20,457
  4. Step 4: Simplify right side
    37,224x = 1,050,858,087.84
  5. Step 5: Solve for x
    x = 1,050,858,087.84/37,224
  6. Step 6: Final answer
    x = 28,230.66

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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.