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Finding the Fourth Proportional to 2,610.50, 3,602.37 and 1,563.14

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Solution

The fourth proportional to 2,610.50, 3,602.37 and 1,563.14 is: 2,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.50 : 3,602.37 = 1,563.14 : x
  2. Step 2: Convert to fraction form
    2,610.50/3,602.37 = 1,563.14/x
  3. Step 3: Cross multiply
    2,610.50x = 3,602.37 × 1,563.14
  4. Step 4: Simplify right side
    2,610.50x = 5,631,008.64
  5. Step 5: Solve for x
    x = 5,631,008.64/2,610.50
  6. Step 6: Final answer
    x = 2,157.06

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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.