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Finding the Fourth Proportional to 38,604.47, 57,916.13 and 12,309.21

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Solution

The fourth proportional to 38,604.47, 57,916.13 and 12,309.21 is: 18,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,604.47 : 57,916.13 = 12,309.21 : x
  2. Step 2: Convert to fraction form
    38,604.47/57,916.13 = 12,309.21/x
  3. Step 3: Cross multiply
    38,604.47x = 57,916.13 × 12,309.21
  4. Step 4: Simplify right side
    38,604.47x = 712,901,745.01
  5. Step 5: Solve for x
    x = 712,901,745.01/38,604.47
  6. Step 6: Final answer
    x = 18,466.82

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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.