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Finding the Fourth Proportional to 19,509.12, 26,920.80 and 11,952

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Solution

The fourth proportional to 19,509.12, 26,920.80 and 11,952 is: 16,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.12 : 26,920.80 = 11,952 : x
  2. Step 2: Convert to fraction form
    19,509.12/26,920.80 = 11,952/x
  3. Step 3: Cross multiply
    19,509.12x = 26,920.80 × 11,952
  4. Step 4: Simplify right side
    19,509.12x = 321,757,401.60
  5. Step 5: Solve for x
    x = 321,757,401.60/19,509.12
  6. Step 6: Final answer
    x = 16,492.67

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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.