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Finding the Fourth Proportional to 30,861, 46,293.68 and 12,393

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Solution

The fourth proportional to 30,861, 46,293.68 and 12,393 is: 18,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861 : 46,293.68 = 12,393 : x
  2. Step 2: Convert to fraction form
    30,861/46,293.68 = 12,393/x
  3. Step 3: Cross multiply
    30,861x = 46,293.68 × 12,393
  4. Step 4: Simplify right side
    30,861x = 573,717,576.24
  5. Step 5: Solve for x
    x = 573,717,576.24/30,861
  6. Step 6: Final answer
    x = 18,590.38

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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.