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Finding the Fourth Proportional to 13,209, 19,799.54 and 4,883.67

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Solution

The fourth proportional to 13,209, 19,799.54 and 4,883.67 is: 7,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209 : 19,799.54 = 4,883.67 : x
  2. Step 2: Convert to fraction form
    13,209/19,799.54 = 4,883.67/x
  3. Step 3: Cross multiply
    13,209x = 19,799.54 × 4,883.67
  4. Step 4: Simplify right side
    13,209x = 96,694,395.09
  5. Step 5: Solve for x
    x = 96,694,395.09/13,209
  6. Step 6: Final answer
    x = 7,320.34

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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.