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Finding the Fourth Proportional to 14,607.78, 21,917.62 and 6,811.80

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Solution

The fourth proportional to 14,607.78, 21,917.62 and 6,811.80 is: 10,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,607.78 : 21,917.62 = 6,811.80 : x
  2. Step 2: Convert to fraction form
    14,607.78/21,917.62 = 6,811.80/x
  3. Step 3: Cross multiply
    14,607.78x = 21,917.62 × 6,811.80
  4. Step 4: Simplify right side
    14,607.78x = 149,298,443.92
  5. Step 5: Solve for x
    x = 149,298,443.92/14,607.78
  6. Step 6: Final answer
    x = 10,220.47

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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.