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Finding the Fourth Proportional to 20,537.38, 30,806.05 and 4,955

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Solution

The fourth proportional to 20,537.38, 30,806.05 and 4,955 is: 7,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.38 : 30,806.05 = 4,955 : x
  2. Step 2: Convert to fraction form
    20,537.38/30,806.05 = 4,955/x
  3. Step 3: Cross multiply
    20,537.38x = 30,806.05 × 4,955
  4. Step 4: Simplify right side
    20,537.38x = 152,643,977.75
  5. Step 5: Solve for x
    x = 152,643,977.75/20,537.38
  6. Step 6: Final answer
    x = 7,432.50

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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.