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Finding the Fourth Proportional to 31,855.96, 47,709.78 and 30,748.60

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Solution

The fourth proportional to 31,855.96, 47,709.78 and 30,748.60 is: 46,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855.96 : 47,709.78 = 30,748.60 : x
  2. Step 2: Convert to fraction form
    31,855.96/47,709.78 = 30,748.60/x
  3. Step 3: Cross multiply
    31,855.96x = 47,709.78 × 30,748.60
  4. Step 4: Simplify right side
    31,855.96x = 1,467,008,941.31
  5. Step 5: Solve for x
    x = 1,467,008,941.31/31,855.96
  6. Step 6: Final answer
    x = 46,051.32

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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.