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Finding the Fourth Proportional to 31,393.85, 47,090.79 and 8,020.31

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Solution

The fourth proportional to 31,393.85, 47,090.79 and 8,020.31 is: 12,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393.85 : 47,090.79 = 8,020.31 : x
  2. Step 2: Convert to fraction form
    31,393.85/47,090.79 = 8,020.31/x
  3. Step 3: Cross multiply
    31,393.85x = 47,090.79 × 8,020.31
  4. Step 4: Simplify right side
    31,393.85x = 377,682,498.49
  5. Step 5: Solve for x
    x = 377,682,498.49/31,393.85
  6. Step 6: Final answer
    x = 12,030.46

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1.5x scale

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.