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Finding the Fourth Proportional to 2,824.16, 4,235.70 and 976.46

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Solution

The fourth proportional to 2,824.16, 4,235.70 and 976.46 is: 1,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.16 : 4,235.70 = 976.46 : x
  2. Step 2: Convert to fraction form
    2,824.16/4,235.70 = 976.46/x
  3. Step 3: Cross multiply
    2,824.16x = 4,235.70 × 976.46
  4. Step 4: Simplify right side
    2,824.16x = 4,135,991.62
  5. Step 5: Solve for x
    x = 4,135,991.62/2,824.16
  6. Step 6: Final answer
    x = 1,464.50

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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.