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Finding the Fourth Proportional to 14,460, 19,954.80 and 7,836

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Solution

The fourth proportional to 14,460, 19,954.80 and 7,836 is: 10,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460 : 19,954.80 = 7,836 : x
  2. Step 2: Convert to fraction form
    14,460/19,954.80 = 7,836/x
  3. Step 3: Cross multiply
    14,460x = 19,954.80 × 7,836
  4. Step 4: Simplify right side
    14,460x = 156,365,812.80
  5. Step 5: Solve for x
    x = 156,365,812.80/14,460
  6. Step 6: Final answer
    x = 10,813.68

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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.