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Finding the Fourth Proportional to 31,876.54, 47,814.84 and 8,502.98

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Solution

The fourth proportional to 31,876.54, 47,814.84 and 8,502.98 is: 12,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.54 : 47,814.84 = 8,502.98 : x
  2. Step 2: Convert to fraction form
    31,876.54/47,814.84 = 8,502.98/x
  3. Step 3: Cross multiply
    31,876.54x = 47,814.84 × 8,502.98
  4. Step 4: Simplify right side
    31,876.54x = 406,568,389.15
  5. Step 5: Solve for x
    x = 406,568,389.15/31,876.54
  6. Step 6: Final answer
    x = 12,754.47

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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.