Home / 2,810.14-3,876.32-1,816

Finding the Fourth Proportional to 2,810.14, 3,876.32 and 1,816

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Solution

The fourth proportional to 2,810.14, 3,876.32 and 1,816 is: 2,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.14 : 3,876.32 = 1,816 : x
  2. Step 2: Convert to fraction form
    2,810.14/3,876.32 = 1,816/x
  3. Step 3: Cross multiply
    2,810.14x = 3,876.32 × 1,816
  4. Step 4: Simplify right side
    2,810.14x = 7,039,397.12
  5. Step 5: Solve for x
    x = 7,039,397.12/2,810.14
  6. Step 6: Final answer
    x = 2,505.00

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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.