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Finding the Fourth Proportional to 37,641.76, 51,944.16 and 20,874.40

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Solution

The fourth proportional to 37,641.76, 51,944.16 and 20,874.40 is: 28,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641.76 : 51,944.16 = 20,874.40 : x
  2. Step 2: Convert to fraction form
    37,641.76/51,944.16 = 20,874.40/x
  3. Step 3: Cross multiply
    37,641.76x = 51,944.16 × 20,874.40
  4. Step 4: Simplify right side
    37,641.76x = 1,084,303,173.50
  5. Step 5: Solve for x
    x = 1,084,303,173.50/37,641.76
  6. Step 6: Final answer
    x = 28,805.86

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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.