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Finding the Fourth Proportional to 14,844, 20,484.78 and 8,220

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Solution

The fourth proportional to 14,844, 20,484.78 and 8,220 is: 11,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,844 : 20,484.78 = 8,220 : x
  2. Step 2: Convert to fraction form
    14,844/20,484.78 = 8,220/x
  3. Step 3: Cross multiply
    14,844x = 20,484.78 × 8,220
  4. Step 4: Simplify right side
    14,844x = 168,384,891.60
  5. Step 5: Solve for x
    x = 168,384,891.60/14,844
  6. Step 6: Final answer
    x = 11,343.63

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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.