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Finding the Fourth Proportional to 4,056.55, 6,084.80 and 978.55

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Solution

The fourth proportional to 4,056.55, 6,084.80 and 978.55 is: 1,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.55 : 6,084.80 = 978.55 : x
  2. Step 2: Convert to fraction form
    4,056.55/6,084.80 = 978.55/x
  3. Step 3: Cross multiply
    4,056.55x = 6,084.80 × 978.55
  4. Step 4: Simplify right side
    4,056.55x = 5,954,250.62
  5. Step 5: Solve for x
    x = 5,954,250.62/4,056.55
  6. Step 6: Final answer
    x = 1,467.81

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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.