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Finding the Fourth Proportional to 7,409.76, 11,114.60 and 2,969.40

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Solution

The fourth proportional to 7,409.76, 11,114.60 and 2,969.40 is: 4,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.76 : 11,114.60 = 2,969.40 : x
  2. Step 2: Convert to fraction form
    7,409.76/11,114.60 = 2,969.40/x
  3. Step 3: Cross multiply
    7,409.76x = 11,114.60 × 2,969.40
  4. Step 4: Simplify right side
    7,409.76x = 33,003,693.24
  5. Step 5: Solve for x
    x = 33,003,693.24/7,409.76
  6. Step 6: Final answer
    x = 4,454.08

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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.