Home / 5,209.13-7,813.86-1,313.54

Finding the Fourth Proportional to 5,209.13, 7,813.86 and 1,313.54

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Solution

The fourth proportional to 5,209.13, 7,813.86 and 1,313.54 is: 1,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.13 : 7,813.86 = 1,313.54 : x
  2. Step 2: Convert to fraction form
    5,209.13/7,813.86 = 1,313.54/x
  3. Step 3: Cross multiply
    5,209.13x = 7,813.86 × 1,313.54
  4. Step 4: Simplify right side
    5,209.13x = 10,263,817.66
  5. Step 5: Solve for x
    x = 10,263,817.66/5,209.13
  6. Step 6: Final answer
    x = 1,970.35

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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.