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Finding the Fourth Proportional to 7,474.12, 11,211.80 and 2,280

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Solution

The fourth proportional to 7,474.12, 11,211.80 and 2,280 is: 3,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.12 : 11,211.80 = 2,280 : x
  2. Step 2: Convert to fraction form
    7,474.12/11,211.80 = 2,280/x
  3. Step 3: Cross multiply
    7,474.12x = 11,211.80 × 2,280
  4. Step 4: Simplify right side
    7,474.12x = 25,562,904
  5. Step 5: Solve for x
    x = 25,562,904/7,474.12
  6. Step 6: Final answer
    x = 3,420.19

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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.