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Finding the Fourth Proportional to 9,300.30, 13,950.16 and 2,280.33

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Solution

The fourth proportional to 9,300.30, 13,950.16 and 2,280.33 is: 3,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.30 : 13,950.16 = 2,280.33 : x
  2. Step 2: Convert to fraction form
    9,300.30/13,950.16 = 2,280.33/x
  3. Step 3: Cross multiply
    9,300.30x = 13,950.16 × 2,280.33
  4. Step 4: Simplify right side
    9,300.30x = 31,810,968.35
  5. Step 5: Solve for x
    x = 31,810,968.35/9,300.30
  6. Step 6: Final answer
    x = 3,420.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.