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Finding the Fourth Proportional to 31,846.88, 47,769.80 and 8,154.23

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Solution

The fourth proportional to 31,846.88, 47,769.80 and 8,154.23 is: 12,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.88 : 47,769.80 = 8,154.23 : x
  2. Step 2: Convert to fraction form
    31,846.88/47,769.80 = 8,154.23/x
  3. Step 3: Cross multiply
    31,846.88x = 47,769.80 × 8,154.23
  4. Step 4: Simplify right side
    31,846.88x = 389,525,895.48
  5. Step 5: Solve for x
    x = 389,525,895.48/31,846.88
  6. Step 6: Final answer
    x = 12,231.21

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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.