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Finding the Fourth Proportional to 31,330.47, 46,905.45 and 20,811

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Solution

The fourth proportional to 31,330.47, 46,905.45 and 20,811 is: 31,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,330.47 : 46,905.45 = 20,811 : x
  2. Step 2: Convert to fraction form
    31,330.47/46,905.45 = 20,811/x
  3. Step 3: Cross multiply
    31,330.47x = 46,905.45 × 20,811
  4. Step 4: Simplify right side
    31,330.47x = 976,149,319.95
  5. Step 5: Solve for x
    x = 976,149,319.95/31,330.47
  6. Step 6: Final answer
    x = 31,156.55

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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.