Home / 5,206.77-7,813.31-2,086.35

Finding the Fourth Proportional to 5,206.77, 7,813.31 and 2,086.35

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Solution

The fourth proportional to 5,206.77, 7,813.31 and 2,086.35 is: 3,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.77 : 7,813.31 = 2,086.35 : x
  2. Step 2: Convert to fraction form
    5,206.77/7,813.31 = 2,086.35/x
  3. Step 3: Cross multiply
    5,206.77x = 7,813.31 × 2,086.35
  4. Step 4: Simplify right side
    5,206.77x = 16,301,299.32
  5. Step 5: Solve for x
    x = 16,301,299.32/5,206.77
  6. Step 6: Final answer
    x = 3,130.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.