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Finding the Fourth Proportional to 31,893.24, 47,798.24 and 19,880.42

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Solution

The fourth proportional to 31,893.24, 47,798.24 and 19,880.42 is: 29,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.24 : 47,798.24 = 19,880.42 : x
  2. Step 2: Convert to fraction form
    31,893.24/47,798.24 = 19,880.42/x
  3. Step 3: Cross multiply
    31,893.24x = 47,798.24 × 19,880.42
  4. Step 4: Simplify right side
    31,893.24x = 950,249,086.46
  5. Step 5: Solve for x
    x = 950,249,086.46/31,893.24
  6. Step 6: Final answer
    x = 29,794.69

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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.