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Finding the Fourth Proportional to 36,605.40, 54,913.79 and 12,916.09

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Solution

The fourth proportional to 36,605.40, 54,913.79 and 12,916.09 is: 19,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,605.40 : 54,913.79 = 12,916.09 : x
  2. Step 2: Convert to fraction form
    36,605.40/54,913.79 = 12,916.09/x
  3. Step 3: Cross multiply
    36,605.40x = 54,913.79 × 12,916.09
  4. Step 4: Simplify right side
    36,605.40x = 709,271,453.88
  5. Step 5: Solve for x
    x = 709,271,453.88/36,605.40
  6. Step 6: Final answer
    x = 19,376.14

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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.