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Finding the Fourth Proportional to 9,201.50, 13,804.44 and 3,045.50

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Solution

The fourth proportional to 9,201.50, 13,804.44 and 3,045.50 is: 4,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.50 : 13,804.44 = 3,045.50 : x
  2. Step 2: Convert to fraction form
    9,201.50/13,804.44 = 3,045.50/x
  3. Step 3: Cross multiply
    9,201.50x = 13,804.44 × 3,045.50
  4. Step 4: Simplify right side
    9,201.50x = 42,041,422.02
  5. Step 5: Solve for x
    x = 42,041,422.02/9,201.50
  6. Step 6: Final answer
    x = 4,568.97

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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.