Home / 2,078.65-2,869.11-1,406.16

Finding the Fourth Proportional to 2,078.65, 2,869.11 and 1,406.16

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Solution

The fourth proportional to 2,078.65, 2,869.11 and 1,406.16 is: 1,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.65 : 2,869.11 = 1,406.16 : x
  2. Step 2: Convert to fraction form
    2,078.65/2,869.11 = 1,406.16/x
  3. Step 3: Cross multiply
    2,078.65x = 2,869.11 × 1,406.16
  4. Step 4: Simplify right side
    2,078.65x = 4,034,427.72
  5. Step 5: Solve for x
    x = 4,034,427.72/2,078.65
  6. Step 6: Final answer
    x = 1,940.89

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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.