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Finding the Fourth Proportional to 1,710.22, 2,563.11 and 1,489.90

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Solution

The fourth proportional to 1,710.22, 2,563.11 and 1,489.90 is: 2,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.22 : 2,563.11 = 1,489.90 : x
  2. Step 2: Convert to fraction form
    1,710.22/2,563.11 = 1,489.90/x
  3. Step 3: Cross multiply
    1,710.22x = 2,563.11 × 1,489.90
  4. Step 4: Simplify right side
    1,710.22x = 3,818,777.59
  5. Step 5: Solve for x
    x = 3,818,777.59/1,710.22
  6. Step 6: Final answer
    x = 2,232.92

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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.