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Finding the Fourth Proportional to 2,610.50, 3,602.16 and 1,431.26

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Solution

The fourth proportional to 2,610.50, 3,602.16 and 1,431.26 is: 1,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.50 : 3,602.16 = 1,431.26 : x
  2. Step 2: Convert to fraction form
    2,610.50/3,602.16 = 1,431.26/x
  3. Step 3: Cross multiply
    2,610.50x = 3,602.16 × 1,431.26
  4. Step 4: Simplify right side
    2,610.50x = 5,155,627.52
  5. Step 5: Solve for x
    x = 5,155,627.52/2,610.50
  6. Step 6: Final answer
    x = 1,974.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.