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Finding the Fourth Proportional to 8,586.36, 12,849.39 and 7,429.95

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Solution

The fourth proportional to 8,586.36, 12,849.39 and 7,429.95 is: 11,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.36 : 12,849.39 = 7,429.95 : x
  2. Step 2: Convert to fraction form
    8,586.36/12,849.39 = 7,429.95/x
  3. Step 3: Cross multiply
    8,586.36x = 12,849.39 × 7,429.95
  4. Step 4: Simplify right side
    8,586.36x = 95,470,325.23
  5. Step 5: Solve for x
    x = 95,470,325.23/8,586.36
  6. Step 6: Final answer
    x = 11,118.84

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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.