Home / 2,140.76-3,209.75-1,408.11

Finding the Fourth Proportional to 2,140.76, 3,209.75 and 1,408.11

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Solution

The fourth proportional to 2,140.76, 3,209.75 and 1,408.11 is: 2,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.76 : 3,209.75 = 1,408.11 : x
  2. Step 2: Convert to fraction form
    2,140.76/3,209.75 = 1,408.11/x
  3. Step 3: Cross multiply
    2,140.76x = 3,209.75 × 1,408.11
  4. Step 4: Simplify right side
    2,140.76x = 4,519,681.07
  5. Step 5: Solve for x
    x = 4,519,681.07/2,140.76
  6. Step 6: Final answer
    x = 2,111.25

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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.