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Finding the Fourth Proportional to 9,768.35, 13,446.05 and 8,647.31

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Solution

The fourth proportional to 9,768.35, 13,446.05 and 8,647.31 is: 11,902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.35 : 13,446.05 = 8,647.31 : x
  2. Step 2: Convert to fraction form
    9,768.35/13,446.05 = 8,647.31/x
  3. Step 3: Cross multiply
    9,768.35x = 13,446.05 × 8,647.31
  4. Step 4: Simplify right side
    9,768.35x = 116,272,052.16
  5. Step 5: Solve for x
    x = 116,272,052.16/9,768.35
  6. Step 6: Final answer
    x = 11,902.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.