Home / 5,205.54-7,808.32-1,309.95

Finding the Fourth Proportional to 5,205.54, 7,808.32 and 1,309.95

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Solution

The fourth proportional to 5,205.54, 7,808.32 and 1,309.95 is: 1,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.54 : 7,808.32 = 1,309.95 : x
  2. Step 2: Convert to fraction form
    5,205.54/7,808.32 = 1,309.95/x
  3. Step 3: Cross multiply
    5,205.54x = 7,808.32 × 1,309.95
  4. Step 4: Simplify right side
    5,205.54x = 10,228,508.78
  5. Step 5: Solve for x
    x = 10,228,508.78/5,205.54
  6. Step 6: Final answer
    x = 1,964.93

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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.