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Finding the Fourth Proportional to 10,828, 14,949.93 and 6,643.54

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Solution

The fourth proportional to 10,828, 14,949.93 and 6,643.54 is: 9,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828 : 14,949.93 = 6,643.54 : x
  2. Step 2: Convert to fraction form
    10,828/14,949.93 = 6,643.54/x
  3. Step 3: Cross multiply
    10,828x = 14,949.93 × 6,643.54
  4. Step 4: Simplify right side
    10,828x = 99,320,457.95
  5. Step 5: Solve for x
    x = 99,320,457.95/10,828
  6. Step 6: Final answer
    x = 9,172.56

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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.