Home / 5,205.77-7,811.81-2,085.35

Finding the Fourth Proportional to 5,205.77, 7,811.81 and 2,085.35

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Solution

The fourth proportional to 5,205.77, 7,811.81 and 2,085.35 is: 3,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.77 : 7,811.81 = 2,085.35 : x
  2. Step 2: Convert to fraction form
    5,205.77/7,811.81 = 2,085.35/x
  3. Step 3: Cross multiply
    5,205.77x = 7,811.81 × 2,085.35
  4. Step 4: Simplify right side
    5,205.77x = 16,290,316.32
  5. Step 5: Solve for x
    x = 16,290,316.32/5,205.77
  6. Step 6: Final answer
    x = 3,129.28

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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.