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Finding the Fourth Proportional to 14,433, 21,651.12 and 6,647.28

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Solution

The fourth proportional to 14,433, 21,651.12 and 6,647.28 is: 9,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433 : 21,651.12 = 6,647.28 : x
  2. Step 2: Convert to fraction form
    14,433/21,651.12 = 6,647.28/x
  3. Step 3: Cross multiply
    14,433x = 21,651.12 × 6,647.28
  4. Step 4: Simplify right side
    14,433x = 143,921,056.95
  5. Step 5: Solve for x
    x = 143,921,056.95/14,433
  6. Step 6: Final answer
    x = 9,971.67

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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.