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Finding the Fourth Proportional to 9,866, 14,799 and 2,940.68

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Solution

The fourth proportional to 9,866, 14,799 and 2,940.68 is: 4,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866 : 14,799 = 2,940.68 : x
  2. Step 2: Convert to fraction form
    9,866/14,799 = 2,940.68/x
  3. Step 3: Cross multiply
    9,866x = 14,799 × 2,940.68
  4. Step 4: Simplify right side
    9,866x = 43,519,123.32
  5. Step 5: Solve for x
    x = 43,519,123.32/9,866
  6. Step 6: Final answer
    x = 4,411.02

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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.