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Finding the Fourth Proportional to 28,454.56, 42,682.62 and 7,678

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Solution

The fourth proportional to 28,454.56, 42,682.62 and 7,678 is: 11,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,454.56 : 42,682.62 = 7,678 : x
  2. Step 2: Convert to fraction form
    28,454.56/42,682.62 = 7,678/x
  3. Step 3: Cross multiply
    28,454.56x = 42,682.62 × 7,678
  4. Step 4: Simplify right side
    28,454.56x = 327,717,156.36
  5. Step 5: Solve for x
    x = 327,717,156.36/28,454.56
  6. Step 6: Final answer
    x = 11,517.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.