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Finding the Fourth Proportional to 8,595, 12,898.26 and 3,123

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Solution

The fourth proportional to 8,595, 12,898.26 and 3,123 is: 4,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,595 : 12,898.26 = 3,123 : x
  2. Step 2: Convert to fraction form
    8,595/12,898.26 = 3,123/x
  3. Step 3: Cross multiply
    8,595x = 12,898.26 × 3,123
  4. Step 4: Simplify right side
    8,595x = 40,281,265.98
  5. Step 5: Solve for x
    x = 40,281,265.98/8,595
  6. Step 6: Final answer
    x = 4,686.59

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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.