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Finding the Fourth Proportional to 37,657, 56,431 and 20,793.32

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Solution

The fourth proportional to 37,657, 56,431 and 20,793.32 is: 31,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657 : 56,431 = 20,793.32 : x
  2. Step 2: Convert to fraction form
    37,657/56,431 = 20,793.32/x
  3. Step 3: Cross multiply
    37,657x = 56,431 × 20,793.32
  4. Step 4: Simplify right side
    37,657x = 1,173,387,840.92
  5. Step 5: Solve for x
    x = 1,173,387,840.92/37,657
  6. Step 6: Final answer
    x = 31,159.89

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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.