Home / 2,277.80-3,411.84-1,409.48

Finding the Fourth Proportional to 2,277.80, 3,411.84 and 1,409.48

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Solution

The fourth proportional to 2,277.80, 3,411.84 and 1,409.48 is: 2,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.80 : 3,411.84 = 1,409.48 : x
  2. Step 2: Convert to fraction form
    2,277.80/3,411.84 = 1,409.48/x
  3. Step 3: Cross multiply
    2,277.80x = 3,411.84 × 1,409.48
  4. Step 4: Simplify right side
    2,277.80x = 4,808,920.24
  5. Step 5: Solve for x
    x = 4,808,920.24/2,277.80
  6. Step 6: Final answer
    x = 2,111.21

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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.