Home / 1,977.86-2,731.75-1,313.56

Finding the Fourth Proportional to 1,977.86, 2,731.75 and 1,313.56

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Solution

The fourth proportional to 1,977.86, 2,731.75 and 1,313.56 is: 1,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.86 : 2,731.75 = 1,313.56 : x
  2. Step 2: Convert to fraction form
    1,977.86/2,731.75 = 1,313.56/x
  3. Step 3: Cross multiply
    1,977.86x = 2,731.75 × 1,313.56
  4. Step 4: Simplify right side
    1,977.86x = 3,588,317.66
  5. Step 5: Solve for x
    x = 3,588,317.66/1,977.86
  6. Step 6: Final answer
    x = 1,814.24

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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.