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Finding the Fourth Proportional to 31,991, 48,003.78 and 15,575

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Solution

The fourth proportional to 31,991, 48,003.78 and 15,575 is: 23,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991 : 48,003.78 = 15,575 : x
  2. Step 2: Convert to fraction form
    31,991/48,003.78 = 15,575/x
  3. Step 3: Cross multiply
    31,991x = 48,003.78 × 15,575
  4. Step 4: Simplify right side
    31,991x = 747,658,873.50
  5. Step 5: Solve for x
    x = 747,658,873.50/31,991
  6. Step 6: Final answer
    x = 23,370.91

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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.