Home / 2,083.78-3,124.82-1,043.40

Finding the Fourth Proportional to 2,083.78, 3,124.82 and 1,043.40

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Solution

The fourth proportional to 2,083.78, 3,124.82 and 1,043.40 is: 1,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.78 : 3,124.82 = 1,043.40 : x
  2. Step 2: Convert to fraction form
    2,083.78/3,124.82 = 1,043.40/x
  3. Step 3: Cross multiply
    2,083.78x = 3,124.82 × 1,043.40
  4. Step 4: Simplify right side
    2,083.78x = 3,260,437.19
  5. Step 5: Solve for x
    x = 3,260,437.19/2,083.78
  6. Step 6: Final answer
    x = 1,564.67

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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.