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Finding the Fourth Proportional to 10,804.22, 16,200.78 and 4,955.78

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Solution

The fourth proportional to 10,804.22, 16,200.78 and 4,955.78 is: 7,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.22 : 16,200.78 = 4,955.78 : x
  2. Step 2: Convert to fraction form
    10,804.22/16,200.78 = 4,955.78/x
  3. Step 3: Cross multiply
    10,804.22x = 16,200.78 × 4,955.78
  4. Step 4: Simplify right side
    10,804.22x = 80,287,501.51
  5. Step 5: Solve for x
    x = 80,287,501.51/10,804.22
  6. Step 6: Final answer
    x = 7,431.12

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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.