Home / 2,110.50-2,912.49-1,412.10

Finding the Fourth Proportional to 2,110.50, 2,912.49 and 1,412.10

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Solution

The fourth proportional to 2,110.50, 2,912.49 and 1,412.10 is: 1,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.50 : 2,912.49 = 1,412.10 : x
  2. Step 2: Convert to fraction form
    2,110.50/2,912.49 = 1,412.10/x
  3. Step 3: Cross multiply
    2,110.50x = 2,912.49 × 1,412.10
  4. Step 4: Simplify right side
    2,110.50x = 4,112,727.13
  5. Step 5: Solve for x
    x = 4,112,727.13/2,110.50
  6. Step 6: Final answer
    x = 1,948.70

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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.