Home / 2,114.10-2,918.63-1,406.90

Finding the Fourth Proportional to 2,114.10, 2,918.63 and 1,406.90

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Solution

The fourth proportional to 2,114.10, 2,918.63 and 1,406.90 is: 1,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.10 : 2,918.63 = 1,406.90 : x
  2. Step 2: Convert to fraction form
    2,114.10/2,918.63 = 1,406.90/x
  3. Step 3: Cross multiply
    2,114.10x = 2,918.63 × 1,406.90
  4. Step 4: Simplify right side
    2,114.10x = 4,106,231.36
  5. Step 5: Solve for x
    x = 4,106,231.36/2,114.10
  6. Step 6: Final answer
    x = 1,942.31

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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.