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Finding the Fourth Proportional to 31,893, 47,502.60 and 30,227.64

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Solution

The fourth proportional to 31,893, 47,502.60 and 30,227.64 is: 45,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893 : 47,502.60 = 30,227.64 : x
  2. Step 2: Convert to fraction form
    31,893/47,502.60 = 30,227.64/x
  3. Step 3: Cross multiply
    31,893x = 47,502.60 × 30,227.64
  4. Step 4: Simplify right side
    31,893x = 1,435,891,491.86
  5. Step 5: Solve for x
    x = 1,435,891,491.86/31,893
  6. Step 6: Final answer
    x = 45,022.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.