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Finding the Fourth Proportional to 2,620.61, 3,928.18 and 976.44

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Solution

The fourth proportional to 2,620.61, 3,928.18 and 976.44 is: 1,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.61 : 3,928.18 = 976.44 : x
  2. Step 2: Convert to fraction form
    2,620.61/3,928.18 = 976.44/x
  3. Step 3: Cross multiply
    2,620.61x = 3,928.18 × 976.44
  4. Step 4: Simplify right side
    2,620.61x = 3,835,632.08
  5. Step 5: Solve for x
    x = 3,835,632.08/2,620.61
  6. Step 6: Final answer
    x = 1,463.64

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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.