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Finding the Fourth Proportional to 9,131.84, 13,696.70 and 2,558.55

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Solution

The fourth proportional to 9,131.84, 13,696.70 and 2,558.55 is: 3,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.84 : 13,696.70 = 2,558.55 : x
  2. Step 2: Convert to fraction form
    9,131.84/13,696.70 = 2,558.55/x
  3. Step 3: Cross multiply
    9,131.84x = 13,696.70 × 2,558.55
  4. Step 4: Simplify right side
    9,131.84x = 35,043,678.99
  5. Step 5: Solve for x
    x = 35,043,678.99/9,131.84
  6. Step 6: Final answer
    x = 3,837.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.