Home / 11,828-16,321.02-6,522.50

Finding the Fourth Proportional to 11,828, 16,321.02 and 6,522.50

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Solution

The fourth proportional to 11,828, 16,321.02 and 6,522.50 is: 9,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828 : 16,321.02 = 6,522.50 : x
  2. Step 2: Convert to fraction form
    11,828/16,321.02 = 6,522.50/x
  3. Step 3: Cross multiply
    11,828x = 16,321.02 × 6,522.50
  4. Step 4: Simplify right side
    11,828x = 106,453,852.95
  5. Step 5: Solve for x
    x = 106,453,852.95/11,828
  6. Step 6: Final answer
    x = 9,000.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.