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Finding the Fourth Proportional to 2,620.28, 3,928.08 and 975.68

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Solution

The fourth proportional to 2,620.28, 3,928.08 and 975.68 is: 1,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.28 : 3,928.08 = 975.68 : x
  2. Step 2: Convert to fraction form
    2,620.28/3,928.08 = 975.68/x
  3. Step 3: Cross multiply
    2,620.28x = 3,928.08 × 975.68
  4. Step 4: Simplify right side
    2,620.28x = 3,832,549.09
  5. Step 5: Solve for x
    x = 3,832,549.09/2,620.28
  6. Step 6: Final answer
    x = 1,462.65

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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.