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Finding the Fourth Proportional to 14,639.78, 21,943.94 and 6,323.71

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Solution

The fourth proportional to 14,639.78, 21,943.94 and 6,323.71 is: 9,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,639.78 : 21,943.94 = 6,323.71 : x
  2. Step 2: Convert to fraction form
    14,639.78/21,943.94 = 6,323.71/x
  3. Step 3: Cross multiply
    14,639.78x = 21,943.94 × 6,323.71
  4. Step 4: Simplify right side
    14,639.78x = 138,766,971.48
  5. Step 5: Solve for x
    x = 138,766,971.48/14,639.78
  6. Step 6: Final answer
    x = 9,478.76

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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.