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Finding the Fourth Proportional to 9,768.30, 14,620.05 and 8,601.90

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Solution

The fourth proportional to 9,768.30, 14,620.05 and 8,601.90 is: 12,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.30 : 14,620.05 = 8,601.90 : x
  2. Step 2: Convert to fraction form
    9,768.30/14,620.05 = 8,601.90/x
  3. Step 3: Cross multiply
    9,768.30x = 14,620.05 × 8,601.90
  4. Step 4: Simplify right side
    9,768.30x = 125,760,208.10
  5. Step 5: Solve for x
    x = 125,760,208.10/9,768.30
  6. Step 6: Final answer
    x = 12,874.32

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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.