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Finding the Fourth Proportional to 1,520.80, 2,055 and 1,520.80

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Solution

The fourth proportional to 1,520.80, 2,055 and 1,520.80 is: 2,055

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.80 : 2,055 = 1,520.80 : x
  2. Step 2: Convert to fraction form
    1,520.80/2,055 = 1,520.80/x
  3. Step 3: Cross multiply
    1,520.80x = 2,055 × 1,520.80
  4. Step 4: Simplify right side
    1,520.80x = 3,125,244
  5. Step 5: Solve for x
    x = 3,125,244/1,520.80
  6. Step 6: Final answer
    x = 2,055

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.