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Finding the Fourth Proportional to 14,629, 21,943.68 and 5,395

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Solution

The fourth proportional to 14,629, 21,943.68 and 5,395 is: 8,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,629 : 21,943.68 = 5,395 : x
  2. Step 2: Convert to fraction form
    14,629/21,943.68 = 5,395/x
  3. Step 3: Cross multiply
    14,629x = 21,943.68 × 5,395
  4. Step 4: Simplify right side
    14,629x = 118,386,153.60
  5. Step 5: Solve for x
    x = 118,386,153.60/14,629
  6. Step 6: Final answer
    x = 8,092.57

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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.