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Finding the Fourth Proportional to 45,916, 68,877.84 and 13,084

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Solution

The fourth proportional to 45,916, 68,877.84 and 13,084 is: 19,627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,916 : 68,877.84 = 13,084 : x
  2. Step 2: Convert to fraction form
    45,916/68,877.84 = 13,084/x
  3. Step 3: Cross multiply
    45,916x = 68,877.84 × 13,084
  4. Step 4: Simplify right side
    45,916x = 901,197,658.56
  5. Step 5: Solve for x
    x = 901,197,658.56/45,916
  6. Step 6: Final answer
    x = 19,627.09

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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.