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Finding the Fourth Proportional to 35,471.76, 48,947.38 and 20,360.80

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Solution

The fourth proportional to 35,471.76, 48,947.38 and 20,360.80 is: 28,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,471.76 : 48,947.38 = 20,360.80 : x
  2. Step 2: Convert to fraction form
    35,471.76/48,947.38 = 20,360.80/x
  3. Step 3: Cross multiply
    35,471.76x = 48,947.38 × 20,360.80
  4. Step 4: Simplify right side
    35,471.76x = 996,607,814.70
  5. Step 5: Solve for x
    x = 996,607,814.70/35,471.76
  6. Step 6: Final answer
    x = 28,095.81

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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.