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Finding the Fourth Proportional to 19,768.86, 29,658.76 and 8,090.28

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Solution

The fourth proportional to 19,768.86, 29,658.76 and 8,090.28 is: 12,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.86 : 29,658.76 = 8,090.28 : x
  2. Step 2: Convert to fraction form
    19,768.86/29,658.76 = 8,090.28/x
  3. Step 3: Cross multiply
    19,768.86x = 29,658.76 × 8,090.28
  4. Step 4: Simplify right side
    19,768.86x = 239,947,652.63
  5. Step 5: Solve for x
    x = 239,947,652.63/19,768.86
  6. Step 6: Final answer
    x = 12,137.66

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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.