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Finding the Fourth Proportional to 15,789, 23,696.34 and 8,000.04

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Solution

The fourth proportional to 15,789, 23,696.34 and 8,000.04 is: 12,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,789 : 23,696.34 = 8,000.04 : x
  2. Step 2: Convert to fraction form
    15,789/23,696.34 = 8,000.04/x
  3. Step 3: Cross multiply
    15,789x = 23,696.34 × 8,000.04
  4. Step 4: Simplify right side
    15,789x = 189,571,667.85
  5. Step 5: Solve for x
    x = 189,571,667.85/15,789
  6. Step 6: Final answer
    x = 12,006.57

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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.