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Finding the Fourth Proportional to 34,554.88, 47,683.12 and 20,405

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Solution

The fourth proportional to 34,554.88, 47,683.12 and 20,405 is: 28,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,554.88 : 47,683.12 = 20,405 : x
  2. Step 2: Convert to fraction form
    34,554.88/47,683.12 = 20,405/x
  3. Step 3: Cross multiply
    34,554.88x = 47,683.12 × 20,405
  4. Step 4: Simplify right side
    34,554.88x = 972,974,063.60
  5. Step 5: Solve for x
    x = 972,974,063.60/34,554.88
  6. Step 6: Final answer
    x = 28,157.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.