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Finding the Fourth Proportional to 2,610.93, 3,603 and 1,431.99

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Solution

The fourth proportional to 2,610.93, 3,603 and 1,431.99 is: 1,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.93 : 3,603 = 1,431.99 : x
  2. Step 2: Convert to fraction form
    2,610.93/3,603 = 1,431.99/x
  3. Step 3: Cross multiply
    2,610.93x = 3,603 × 1,431.99
  4. Step 4: Simplify right side
    2,610.93x = 5,159,459.97
  5. Step 5: Solve for x
    x = 5,159,459.97/2,610.93
  6. Step 6: Final answer
    x = 1,976.10

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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.