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Finding the Fourth Proportional to 7,442.34, 11,165.40 and 5,255.34

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Solution

The fourth proportional to 7,442.34, 11,165.40 and 5,255.34 is: 7,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.34 : 11,165.40 = 5,255.34 : x
  2. Step 2: Convert to fraction form
    7,442.34/11,165.40 = 5,255.34/x
  3. Step 3: Cross multiply
    7,442.34x = 11,165.40 × 5,255.34
  4. Step 4: Simplify right side
    7,442.34x = 58,677,973.24
  5. Step 5: Solve for x
    x = 58,677,973.24/7,442.34
  6. Step 6: Final answer
    x = 7,884.34

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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.