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Finding the Fourth Proportional to 18,983.66, 28,477.77 and 7,897.85

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Solution

The fourth proportional to 18,983.66, 28,477.77 and 7,897.85 is: 11,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,983.66 : 28,477.77 = 7,897.85 : x
  2. Step 2: Convert to fraction form
    18,983.66/28,477.77 = 7,897.85/x
  3. Step 3: Cross multiply
    18,983.66x = 28,477.77 × 7,897.85
  4. Step 4: Simplify right side
    18,983.66x = 224,913,155.79
  5. Step 5: Solve for x
    x = 224,913,155.79/18,983.66
  6. Step 6: Final answer
    x = 11,847.72

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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.