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Finding the Fourth Proportional to 37,757.85, 56,601.40 and 12,780.42

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Solution

The fourth proportional to 37,757.85, 56,601.40 and 12,780.42 is: 19,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,757.85 : 56,601.40 = 12,780.42 : x
  2. Step 2: Convert to fraction form
    37,757.85/56,601.40 = 12,780.42/x
  3. Step 3: Cross multiply
    37,757.85x = 56,601.40 × 12,780.42
  4. Step 4: Simplify right side
    37,757.85x = 723,389,444.34
  5. Step 5: Solve for x
    x = 723,389,444.34/37,757.85
  6. Step 6: Final answer
    x = 19,158.65

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