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Finding the Fourth Proportional to 31,237, 46,861.98 and 12,769

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Solution

The fourth proportional to 31,237, 46,861.98 and 12,769 is: 19,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,237 : 46,861.98 = 12,769 : x
  2. Step 2: Convert to fraction form
    31,237/46,861.98 = 12,769/x
  3. Step 3: Cross multiply
    31,237x = 46,861.98 × 12,769
  4. Step 4: Simplify right side
    31,237x = 598,380,622.62
  5. Step 5: Solve for x
    x = 598,380,622.62/31,237
  6. Step 6: Final answer
    x = 19,156.15

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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.