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Finding the Fourth Proportional to 1,395.92, 1,928.08 and 1,022.38

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Solution

The fourth proportional to 1,395.92, 1,928.08 and 1,022.38 is: 1,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.92 : 1,928.08 = 1,022.38 : x
  2. Step 2: Convert to fraction form
    1,395.92/1,928.08 = 1,022.38/x
  3. Step 3: Cross multiply
    1,395.92x = 1,928.08 × 1,022.38
  4. Step 4: Simplify right side
    1,395.92x = 1,971,230.43
  5. Step 5: Solve for x
    x = 1,971,230.43/1,395.92
  6. Step 6: Final answer
    x = 1,412.14

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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.