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Finding the Fourth Proportional to 4,056.19, 6,084.29 and 978.19

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Solution

The fourth proportional to 4,056.19, 6,084.29 and 978.19 is: 1,467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.19 : 6,084.29 = 978.19 : x
  2. Step 2: Convert to fraction form
    4,056.19/6,084.29 = 978.19/x
  3. Step 3: Cross multiply
    4,056.19x = 6,084.29 × 978.19
  4. Step 4: Simplify right side
    4,056.19x = 5,951,591.64
  5. Step 5: Solve for x
    x = 5,951,591.64/4,056.19
  6. Step 6: Final answer
    x = 1,467.29

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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.