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Finding the Fourth Proportional to 3,485.98, 5,230.07 and 1,146.01

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Solution

The fourth proportional to 3,485.98, 5,230.07 and 1,146.01 is: 1,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.98 : 5,230.07 = 1,146.01 : x
  2. Step 2: Convert to fraction form
    3,485.98/5,230.07 = 1,146.01/x
  3. Step 3: Cross multiply
    3,485.98x = 5,230.07 × 1,146.01
  4. Step 4: Simplify right side
    3,485.98x = 5,993,712.52
  5. Step 5: Solve for x
    x = 5,993,712.52/3,485.98
  6. Step 6: Final answer
    x = 1,719.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.