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Finding the Fourth Proportional to 8,644.95, 12,965.58 and 2,798.37

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Solution

The fourth proportional to 8,644.95, 12,965.58 and 2,798.37 is: 4,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.95 : 12,965.58 = 2,798.37 : x
  2. Step 2: Convert to fraction form
    8,644.95/12,965.58 = 2,798.37/x
  3. Step 3: Cross multiply
    8,644.95x = 12,965.58 × 2,798.37
  4. Step 4: Simplify right side
    8,644.95x = 36,282,490.10
  5. Step 5: Solve for x
    x = 36,282,490.10/8,644.95
  6. Step 6: Final answer
    x = 4,196.96

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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.