Home / 5,209.05-7,813.50-1,313.43

Finding the Fourth Proportional to 5,209.05, 7,813.50 and 1,313.43

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Solution

The fourth proportional to 5,209.05, 7,813.50 and 1,313.43 is: 1,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.05 : 7,813.50 = 1,313.43 : x
  2. Step 2: Convert to fraction form
    5,209.05/7,813.50 = 1,313.43/x
  3. Step 3: Cross multiply
    5,209.05x = 7,813.50 × 1,313.43
  4. Step 4: Simplify right side
    5,209.05x = 10,262,485.31
  5. Step 5: Solve for x
    x = 10,262,485.31/5,209.05
  6. Step 6: Final answer
    x = 1,970.13

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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.