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Finding the Fourth Proportional to 1,928.04, 2,661.39 and 1,265.04

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Solution

The fourth proportional to 1,928.04, 2,661.39 and 1,265.04 is: 1,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.04 : 2,661.39 = 1,265.04 : x
  2. Step 2: Convert to fraction form
    1,928.04/2,661.39 = 1,265.04/x
  3. Step 3: Cross multiply
    1,928.04x = 2,661.39 × 1,265.04
  4. Step 4: Simplify right side
    1,928.04x = 3,366,764.81
  5. Step 5: Solve for x
    x = 3,366,764.81/1,928.04
  6. Step 6: Final answer
    x = 1,746.21

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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.