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Finding the Fourth Proportional to 31,777, 47,658.70 and 12,048.64

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Solution

The fourth proportional to 31,777, 47,658.70 and 12,048.64 is: 18,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777 : 47,658.70 = 12,048.64 : x
  2. Step 2: Convert to fraction form
    31,777/47,658.70 = 12,048.64/x
  3. Step 3: Cross multiply
    31,777x = 47,658.70 × 12,048.64
  4. Step 4: Simplify right side
    31,777x = 574,222,519.17
  5. Step 5: Solve for x
    x = 574,222,519.17/31,777
  6. Step 6: Final answer
    x = 18,070.38

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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.