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Finding the Fourth Proportional to 2,362.74, 3,546.09 and 2,089.50

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Solution

The fourth proportional to 2,362.74, 3,546.09 and 2,089.50 is: 3,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.74 : 3,546.09 = 2,089.50 : x
  2. Step 2: Convert to fraction form
    2,362.74/3,546.09 = 2,089.50/x
  3. Step 3: Cross multiply
    2,362.74x = 3,546.09 × 2,089.50
  4. Step 4: Simplify right side
    2,362.74x = 7,409,555.06
  5. Step 5: Solve for x
    x = 7,409,555.06/2,362.74
  6. Step 6: Final answer
    x = 3,136.00

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Why These Related Problems?

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