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Finding the Fourth Proportional to 30,813, 46,214.84 and 8,623.50

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Solution

The fourth proportional to 30,813, 46,214.84 and 8,623.50 is: 12,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813 : 46,214.84 = 8,623.50 : x
  2. Step 2: Convert to fraction form
    30,813/46,214.84 = 8,623.50/x
  3. Step 3: Cross multiply
    30,813x = 46,214.84 × 8,623.50
  4. Step 4: Simplify right side
    30,813x = 398,533,672.74
  5. Step 5: Solve for x
    x = 398,533,672.74/30,813
  6. Step 6: Final answer
    x = 12,933.95

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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.