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Finding the Fourth Proportional to 37,224.36, 51,370.02 and 20,457

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Solution

The fourth proportional to 37,224.36, 51,370.02 and 20,457 is: 28,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,224.36 : 51,370.02 = 20,457 : x
  2. Step 2: Convert to fraction form
    37,224.36/51,370.02 = 20,457/x
  3. Step 3: Cross multiply
    37,224.36x = 51,370.02 × 20,457
  4. Step 4: Simplify right side
    37,224.36x = 1,050,876,499.14
  5. Step 5: Solve for x
    x = 1,050,876,499.14/37,224.36
  6. Step 6: Final answer
    x = 28,230.88

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1.5x scale

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.