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Finding the Fourth Proportional to 20,977, 31,470.36 and 7,126

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Solution

The fourth proportional to 20,977, 31,470.36 and 7,126 is: 10,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977 : 31,470.36 = 7,126 : x
  2. Step 2: Convert to fraction form
    20,977/31,470.36 = 7,126/x
  3. Step 3: Cross multiply
    20,977x = 31,470.36 × 7,126
  4. Step 4: Simplify right side
    20,977x = 224,257,785.36
  5. Step 5: Solve for x
    x = 224,257,785.36/20,977
  6. Step 6: Final answer
    x = 10,690.65

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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.