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Finding the Fourth Proportional to 9,525.34, 13,143.90 and 5,546.08

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Solution

The fourth proportional to 9,525.34, 13,143.90 and 5,546.08 is: 7,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.34 : 13,143.90 = 5,546.08 : x
  2. Step 2: Convert to fraction form
    9,525.34/13,143.90 = 5,546.08/x
  3. Step 3: Cross multiply
    9,525.34x = 13,143.90 × 5,546.08
  4. Step 4: Simplify right side
    9,525.34x = 72,897,120.91
  5. Step 5: Solve for x
    x = 72,897,120.91/9,525.34
  6. Step 6: Final answer
    x = 7,652.97

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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.