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Finding the Fourth Proportional to 20,977, 31,465.50 and 8,665.32

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Solution

The fourth proportional to 20,977, 31,465.50 and 8,665.32 is: 12,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977 : 31,465.50 = 8,665.32 : x
  2. Step 2: Convert to fraction form
    20,977/31,465.50 = 8,665.32/x
  3. Step 3: Cross multiply
    20,977x = 31,465.50 × 8,665.32
  4. Step 4: Simplify right side
    20,977x = 272,658,626.46
  5. Step 5: Solve for x
    x = 272,658,626.46/20,977
  6. Step 6: Final answer
    x = 12,997.98

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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.