Home / 2,277.68-3,409.80-1,584.56

Finding the Fourth Proportional to 2,277.68, 3,409.80 and 1,584.56

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Solution

The fourth proportional to 2,277.68, 3,409.80 and 1,584.56 is: 2,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.68 : 3,409.80 = 1,584.56 : x
  2. Step 2: Convert to fraction form
    2,277.68/3,409.80 = 1,584.56/x
  3. Step 3: Cross multiply
    2,277.68x = 3,409.80 × 1,584.56
  4. Step 4: Simplify right side
    2,277.68x = 5,403,032.69
  5. Step 5: Solve for x
    x = 5,403,032.69/2,277.68
  6. Step 6: Final answer
    x = 2,372.16

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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.