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Finding the Fourth Proportional to 37,820.40, 56,714.40 and 19,093.20

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Solution

The fourth proportional to 37,820.40, 56,714.40 and 19,093.20 is: 28,631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,820.40 : 56,714.40 = 19,093.20 : x
  2. Step 2: Convert to fraction form
    37,820.40/56,714.40 = 19,093.20/x
  3. Step 3: Cross multiply
    37,820.40x = 56,714.40 × 19,093.20
  4. Step 4: Simplify right side
    37,820.40x = 1,082,859,382.08
  5. Step 5: Solve for x
    x = 1,082,859,382.08/37,820.40
  6. Step 6: Final answer
    x = 28,631.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.