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Finding the Fourth Proportional to 4,054.50, 6,081.75 and 976.50

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Solution

The fourth proportional to 4,054.50, 6,081.75 and 976.50 is: 1,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.50 : 6,081.75 = 976.50 : x
  2. Step 2: Convert to fraction form
    4,054.50/6,081.75 = 976.50/x
  3. Step 3: Cross multiply
    4,054.50x = 6,081.75 × 976.50
  4. Step 4: Simplify right side
    4,054.50x = 5,938,828.88
  5. Step 5: Solve for x
    x = 5,938,828.88/4,054.50
  6. Step 6: Final answer
    x = 1,464.75

Related Problems

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Double scale
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Similar ratio
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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.