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Finding the Fourth Proportional to 2,122.58, 2,928.48 and 1,728.92

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Solution

The fourth proportional to 2,122.58, 2,928.48 and 1,728.92 is: 2,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.58 : 2,928.48 = 1,728.92 : x
  2. Step 2: Convert to fraction form
    2,122.58/2,928.48 = 1,728.92/x
  3. Step 3: Cross multiply
    2,122.58x = 2,928.48 × 1,728.92
  4. Step 4: Simplify right side
    2,122.58x = 5,063,107.64
  5. Step 5: Solve for x
    x = 5,063,107.64/2,122.58
  6. Step 6: Final answer
    x = 2,385.36

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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.