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Finding the Fourth Proportional to 9,456, 13,051.52 and 6,662.40

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Solution

The fourth proportional to 9,456, 13,051.52 and 6,662.40 is: 9,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456 : 13,051.52 = 6,662.40 : x
  2. Step 2: Convert to fraction form
    9,456/13,051.52 = 6,662.40/x
  3. Step 3: Cross multiply
    9,456x = 13,051.52 × 6,662.40
  4. Step 4: Simplify right side
    9,456x = 86,954,446.85
  5. Step 5: Solve for x
    x = 86,954,446.85/9,456
  6. Step 6: Final answer
    x = 9,195.69

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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.