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Finding the Fourth Proportional to 1,468.45, 2,021.07 and 1,288

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Solution

The fourth proportional to 1,468.45, 2,021.07 and 1,288 is: 1,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.45 : 2,021.07 = 1,288 : x
  2. Step 2: Convert to fraction form
    1,468.45/2,021.07 = 1,288/x
  3. Step 3: Cross multiply
    1,468.45x = 2,021.07 × 1,288
  4. Step 4: Simplify right side
    1,468.45x = 2,603,138.16
  5. Step 5: Solve for x
    x = 2,603,138.16/1,468.45
  6. Step 6: Final answer
    x = 1,772.71

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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.