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Finding the Fourth Proportional to 8,879.36, 12,254.32 and 5,342

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Solution

The fourth proportional to 8,879.36, 12,254.32 and 5,342 is: 7,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,879.36 : 12,254.32 = 5,342 : x
  2. Step 2: Convert to fraction form
    8,879.36/12,254.32 = 5,342/x
  3. Step 3: Cross multiply
    8,879.36x = 12,254.32 × 5,342
  4. Step 4: Simplify right side
    8,879.36x = 65,462,577.44
  5. Step 5: Solve for x
    x = 65,462,577.44/8,879.36
  6. Step 6: Final answer
    x = 7,372.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.