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Finding the Fourth Proportional to 7,824.66, 11,729.08 and 4,905.01

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Solution

The fourth proportional to 7,824.66, 11,729.08 and 4,905.01 is: 7,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.66 : 11,729.08 = 4,905.01 : x
  2. Step 2: Convert to fraction form
    7,824.66/11,729.08 = 4,905.01/x
  3. Step 3: Cross multiply
    7,824.66x = 11,729.08 × 4,905.01
  4. Step 4: Simplify right side
    7,824.66x = 57,531,254.69
  5. Step 5: Solve for x
    x = 57,531,254.69/7,824.66
  6. Step 6: Final answer
    x = 7,352.56

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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.