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Finding the Fourth Proportional to 21,763.10, 32,647 and 9,284.45

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Solution

The fourth proportional to 21,763.10, 32,647 and 9,284.45 is: 13,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,763.10 : 32,647 = 9,284.45 : x
  2. Step 2: Convert to fraction form
    21,763.10/32,647 = 9,284.45/x
  3. Step 3: Cross multiply
    21,763.10x = 32,647 × 9,284.45
  4. Step 4: Simplify right side
    21,763.10x = 303,109,275.92
  5. Step 5: Solve for x
    x = 303,109,275.92/21,763.10
  6. Step 6: Final answer
    x = 13,927.67

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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.