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Finding the Fourth Proportional to 2,299.68, 3,173.04 and 1,928.16

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Solution

The fourth proportional to 2,299.68, 3,173.04 and 1,928.16 is: 2,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.68 : 3,173.04 = 1,928.16 : x
  2. Step 2: Convert to fraction form
    2,299.68/3,173.04 = 1,928.16/x
  3. Step 3: Cross multiply
    2,299.68x = 3,173.04 × 1,928.16
  4. Step 4: Simplify right side
    2,299.68x = 6,118,128.81
  5. Step 5: Solve for x
    x = 6,118,128.81/2,299.68
  6. Step 6: Final answer
    x = 2,660.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.