Home / 2,104.86-3,154.18-1,409.14

Finding the Fourth Proportional to 2,104.86, 3,154.18 and 1,409.14

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Solution

The fourth proportional to 2,104.86, 3,154.18 and 1,409.14 is: 2,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.86 : 3,154.18 = 1,409.14 : x
  2. Step 2: Convert to fraction form
    2,104.86/3,154.18 = 1,409.14/x
  3. Step 3: Cross multiply
    2,104.86x = 3,154.18 × 1,409.14
  4. Step 4: Simplify right side
    2,104.86x = 4,444,681.21
  5. Step 5: Solve for x
    x = 4,444,681.21/2,104.86
  6. Step 6: Final answer
    x = 2,111.63

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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.