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Finding the Fourth Proportional to 7,420.96, 11,133.80 and 4,462.64

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Solution

The fourth proportional to 7,420.96, 11,133.80 and 4,462.64 is: 6,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.96 : 11,133.80 = 4,462.64 : x
  2. Step 2: Convert to fraction form
    7,420.96/11,133.80 = 4,462.64/x
  3. Step 3: Cross multiply
    7,420.96x = 11,133.80 × 4,462.64
  4. Step 4: Simplify right side
    7,420.96x = 49,686,141.23
  5. Step 5: Solve for x
    x = 49,686,141.23/7,420.96
  6. Step 6: Final answer
    x = 6,695.38

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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.