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Finding the Fourth Proportional to 31,330, 47,004 and 15,539.86

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Solution

The fourth proportional to 31,330, 47,004 and 15,539.86 is: 23,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,330 : 47,004 = 15,539.86 : x
  2. Step 2: Convert to fraction form
    31,330/47,004 = 15,539.86/x
  3. Step 3: Cross multiply
    31,330x = 47,004 × 15,539.86
  4. Step 4: Simplify right side
    31,330x = 730,435,579.44
  5. Step 5: Solve for x
    x = 730,435,579.44/31,330
  6. Step 6: Final answer
    x = 23,314.25

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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.