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Finding the Fourth Proportional to 1,820.45, 2,732.00 and 1,234.06

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Solution

The fourth proportional to 1,820.45, 2,732.00 and 1,234.06 is: 1,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.45 : 2,732.00 = 1,234.06 : x
  2. Step 2: Convert to fraction form
    1,820.45/2,732.00 = 1,234.06/x
  3. Step 3: Cross multiply
    1,820.45x = 2,732.00 × 1,234.06
  4. Step 4: Simplify right side
    1,820.45x = 3,371,457.02
  5. Step 5: Solve for x
    x = 3,371,457.02/1,820.45
  6. Step 6: Final answer
    x = 1,851.99

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