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Finding the Fourth Proportional to 30,823.28, 46,234.92 and 8,639.94

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Solution

The fourth proportional to 30,823.28, 46,234.92 and 8,639.94 is: 12,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.28 : 46,234.92 = 8,639.94 : x
  2. Step 2: Convert to fraction form
    30,823.28/46,234.92 = 8,639.94/x
  3. Step 3: Cross multiply
    30,823.28x = 46,234.92 × 8,639.94
  4. Step 4: Simplify right side
    30,823.28x = 399,466,934.70
  5. Step 5: Solve for x
    x = 399,466,934.70/30,823.28
  6. Step 6: Final answer
    x = 12,959.91

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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.