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Finding the Fourth Proportional to 4,056.57, 6,084.84 and 978.57

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Solution

The fourth proportional to 4,056.57, 6,084.84 and 978.57 is: 1,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.57 : 6,084.84 = 978.57 : x
  2. Step 2: Convert to fraction form
    4,056.57/6,084.84 = 978.57/x
  3. Step 3: Cross multiply
    4,056.57x = 6,084.84 × 978.57
  4. Step 4: Simplify right side
    4,056.57x = 5,954,441.88
  5. Step 5: Solve for x
    x = 5,954,441.88/4,056.57
  6. Step 6: Final answer
    x = 1,467.85

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1.5x scale

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.