Home / 1,967.90-2,715.80-1,083.78

Finding the Fourth Proportional to 1,967.90, 2,715.80 and 1,083.78

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Solution

The fourth proportional to 1,967.90, 2,715.80 and 1,083.78 is: 1,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.90 : 2,715.80 = 1,083.78 : x
  2. Step 2: Convert to fraction form
    1,967.90/2,715.80 = 1,083.78/x
  3. Step 3: Cross multiply
    1,967.90x = 2,715.80 × 1,083.78
  4. Step 4: Simplify right side
    1,967.90x = 2,943,324.31
  5. Step 5: Solve for x
    x = 2,943,324.31/1,967.90
  6. Step 6: Final answer
    x = 1,495.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.