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Finding the Fourth Proportional to 1,520.05, 2,123.75 and 1,520.05

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Solution

The fourth proportional to 1,520.05, 2,123.75 and 1,520.05 is: 2,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.05 : 2,123.75 = 1,520.05 : x
  2. Step 2: Convert to fraction form
    1,520.05/2,123.75 = 1,520.05/x
  3. Step 3: Cross multiply
    1,520.05x = 2,123.75 × 1,520.05
  4. Step 4: Simplify right side
    1,520.05x = 3,228,206.19
  5. Step 5: Solve for x
    x = 3,228,206.19/1,520.05
  6. Step 6: Final answer
    x = 2,123.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.