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Finding the Fourth Proportional to 1,520.36, 2,097.84 and 857.12

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Solution

The fourth proportional to 1,520.36, 2,097.84 and 857.12 is: 1,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.36 : 2,097.84 = 857.12 : x
  2. Step 2: Convert to fraction form
    1,520.36/2,097.84 = 857.12/x
  3. Step 3: Cross multiply
    1,520.36x = 2,097.84 × 857.12
  4. Step 4: Simplify right side
    1,520.36x = 1,798,100.62
  5. Step 5: Solve for x
    x = 1,798,100.62/1,520.36
  6. Step 6: Final answer
    x = 1,182.68

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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.