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Finding the Fourth Proportional to 4,878, 7,323.48 and 4,188.96

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Solution

The fourth proportional to 4,878, 7,323.48 and 4,188.96 is: 6,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878 : 7,323.48 = 4,188.96 : x
  2. Step 2: Convert to fraction form
    4,878/7,323.48 = 4,188.96/x
  3. Step 3: Cross multiply
    4,878x = 7,323.48 × 4,188.96
  4. Step 4: Simplify right side
    4,878x = 30,677,764.78
  5. Step 5: Solve for x
    x = 30,677,764.78/4,878
  6. Step 6: Final answer
    x = 6,289.00

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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.