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Finding the Fourth Proportional to 9,525.78, 13,152 and 5,946.19

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Solution

The fourth proportional to 9,525.78, 13,152 and 5,946.19 is: 8,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.78 : 13,152 = 5,946.19 : x
  2. Step 2: Convert to fraction form
    9,525.78/13,152 = 5,946.19/x
  3. Step 3: Cross multiply
    9,525.78x = 13,152 × 5,946.19
  4. Step 4: Simplify right side
    9,525.78x = 78,204,290.88
  5. Step 5: Solve for x
    x = 78,204,290.88/9,525.78
  6. Step 6: Final answer
    x = 8,209.75

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