Home / 7,724.08-11,586-1,880.68

Finding the Fourth Proportional to 7,724.08, 11,586 and 1,880.68

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Solution

The fourth proportional to 7,724.08, 11,586 and 1,880.68 is: 2,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.08 : 11,586 = 1,880.68 : x
  2. Step 2: Convert to fraction form
    7,724.08/11,586 = 1,880.68/x
  3. Step 3: Cross multiply
    7,724.08x = 11,586 × 1,880.68
  4. Step 4: Simplify right side
    7,724.08x = 21,789,558.48
  5. Step 5: Solve for x
    x = 21,789,558.48/7,724.08
  6. Step 6: Final answer
    x = 2,820.99

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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.