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Finding the Fourth Proportional to 14,517, 21,778.74 and 5,283

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Solution

The fourth proportional to 14,517, 21,778.74 and 5,283 is: 7,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517 : 21,778.74 = 5,283 : x
  2. Step 2: Convert to fraction form
    14,517/21,778.74 = 5,283/x
  3. Step 3: Cross multiply
    14,517x = 21,778.74 × 5,283
  4. Step 4: Simplify right side
    14,517x = 115,057,083.42
  5. Step 5: Solve for x
    x = 115,057,083.42/14,517
  6. Step 6: Final answer
    x = 7,925.68

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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.