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Finding the Fourth Proportional to 31,136.59, 46,676.20 and 12,412.16

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Solution

The fourth proportional to 31,136.59, 46,676.20 and 12,412.16 is: 18,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,136.59 : 46,676.20 = 12,412.16 : x
  2. Step 2: Convert to fraction form
    31,136.59/46,676.20 = 12,412.16/x
  3. Step 3: Cross multiply
    31,136.59x = 46,676.20 × 12,412.16
  4. Step 4: Simplify right side
    31,136.59x = 579,352,462.59
  5. Step 5: Solve for x
    x = 579,352,462.59/31,136.59
  6. Step 6: Final answer
    x = 18,606.81

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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.