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Finding the Fourth Proportional to 37,930.64, 56,902.64 and 12,964.82

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Solution

The fourth proportional to 37,930.64, 56,902.64 and 12,964.82 is: 19,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,930.64 : 56,902.64 = 12,964.82 : x
  2. Step 2: Convert to fraction form
    37,930.64/56,902.64 = 12,964.82/x
  3. Step 3: Cross multiply
    37,930.64x = 56,902.64 × 12,964.82
  4. Step 4: Simplify right side
    37,930.64x = 737,732,135.79
  5. Step 5: Solve for x
    x = 737,732,135.79/37,930.64
  6. Step 6: Final answer
    x = 19,449.51

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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.