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Finding the Fourth Proportional to 10,728.24, 16,090.50 and 2,935.20

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Solution

The fourth proportional to 10,728.24, 16,090.50 and 2,935.20 is: 4,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.24 : 16,090.50 = 2,935.20 : x
  2. Step 2: Convert to fraction form
    10,728.24/16,090.50 = 2,935.20/x
  3. Step 3: Cross multiply
    10,728.24x = 16,090.50 × 2,935.20
  4. Step 4: Simplify right side
    10,728.24x = 47,228,835.60
  5. Step 5: Solve for x
    x = 47,228,835.60/10,728.24
  6. Step 6: Final answer
    x = 4,402.29

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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.