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Finding the Fourth Proportional to 20,252, 30,391.50 and 7,782.32

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Solution

The fourth proportional to 20,252, 30,391.50 and 7,782.32 is: 11,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252 : 30,391.50 = 7,782.32 : x
  2. Step 2: Convert to fraction form
    20,252/30,391.50 = 7,782.32/x
  3. Step 3: Cross multiply
    20,252x = 30,391.50 × 7,782.32
  4. Step 4: Simplify right side
    20,252x = 236,516,378.28
  5. Step 5: Solve for x
    x = 236,516,378.28/20,252
  6. Step 6: Final answer
    x = 11,678.67

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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.