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Finding the Fourth Proportional to 9,201, 13,801.80 and 2,275.50

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Solution

The fourth proportional to 9,201, 13,801.80 and 2,275.50 is: 3,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201 : 13,801.80 = 2,275.50 : x
  2. Step 2: Convert to fraction form
    9,201/13,801.80 = 2,275.50/x
  3. Step 3: Cross multiply
    9,201x = 13,801.80 × 2,275.50
  4. Step 4: Simplify right side
    9,201x = 31,405,995.90
  5. Step 5: Solve for x
    x = 31,405,995.90/9,201
  6. Step 6: Final answer
    x = 3,413.32

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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.