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Finding the Fourth Proportional to 31,873.16, 47,809.78 and 8,499.60

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Solution

The fourth proportional to 31,873.16, 47,809.78 and 8,499.60 is: 12,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,873.16 : 47,809.78 = 8,499.60 : x
  2. Step 2: Convert to fraction form
    31,873.16/47,809.78 = 8,499.60/x
  3. Step 3: Cross multiply
    31,873.16x = 47,809.78 × 8,499.60
  4. Step 4: Simplify right side
    31,873.16x = 406,363,984.84
  5. Step 5: Solve for x
    x = 406,363,984.84/31,873.16
  6. Step 6: Final answer
    x = 12,749.41

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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.