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Finding the Fourth Proportional to 37,543.76, 51,812 and 20,776.76

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Solution

The fourth proportional to 37,543.76, 51,812 and 20,776.76 is: 28,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,543.76 : 51,812 = 20,776.76 : x
  2. Step 2: Convert to fraction form
    37,543.76/51,812 = 20,776.76/x
  3. Step 3: Cross multiply
    37,543.76x = 51,812 × 20,776.76
  4. Step 4: Simplify right side
    37,543.76x = 1,076,485,489.12
  5. Step 5: Solve for x
    x = 1,076,485,489.12/37,543.76
  6. Step 6: Final answer
    x = 28,672.82

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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.