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Finding the Fourth Proportional to 1,400.90, 1,930.12 and 1,163.50

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Solution

The fourth proportional to 1,400.90, 1,930.12 and 1,163.50 is: 1,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.90 : 1,930.12 = 1,163.50 : x
  2. Step 2: Convert to fraction form
    1,400.90/1,930.12 = 1,163.50/x
  3. Step 3: Cross multiply
    1,400.90x = 1,930.12 × 1,163.50
  4. Step 4: Simplify right side
    1,400.90x = 2,245,686.89
  5. Step 5: Solve for x
    x = 2,245,686.89/1,400.90
  6. Step 6: Final answer
    x = 1,603.04

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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.