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Finding the Fourth Proportional to 4,056.32, 6,084.48 and 978.32

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Solution

The fourth proportional to 4,056.32, 6,084.48 and 978.32 is: 1,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.32 : 6,084.48 = 978.32 : x
  2. Step 2: Convert to fraction form
    4,056.32/6,084.48 = 978.32/x
  3. Step 3: Cross multiply
    4,056.32x = 6,084.48 × 978.32
  4. Step 4: Simplify right side
    4,056.32x = 5,952,538.05
  5. Step 5: Solve for x
    x = 5,952,538.05/4,056.32
  6. Step 6: Final answer
    x = 1,467.47

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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.