Home / 13,205-19,782.78-6,623.48

Finding the Fourth Proportional to 13,205, 19,782.78 and 6,623.48

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Solution

The fourth proportional to 13,205, 19,782.78 and 6,623.48 is: 9,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205 : 19,782.78 = 6,623.48 : x
  2. Step 2: Convert to fraction form
    13,205/19,782.78 = 6,623.48/x
  3. Step 3: Cross multiply
    13,205x = 19,782.78 × 6,623.48
  4. Step 4: Simplify right side
    13,205x = 131,030,847.67
  5. Step 5: Solve for x
    x = 131,030,847.67/13,205
  6. Step 6: Final answer
    x = 9,922.82

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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.