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Finding the Fourth Proportional to 12,395.69, 18,596.58 and 5,814.21

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Solution

The fourth proportional to 12,395.69, 18,596.58 and 5,814.21 is: 8,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.69 : 18,596.58 = 5,814.21 : x
  2. Step 2: Convert to fraction form
    12,395.69/18,596.58 = 5,814.21/x
  3. Step 3: Cross multiply
    12,395.69x = 18,596.58 × 5,814.21
  4. Step 4: Simplify right side
    12,395.69x = 108,124,421.40
  5. Step 5: Solve for x
    x = 108,124,421.40/12,395.69
  6. Step 6: Final answer
    x = 8,722.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.