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Finding the Fourth Proportional to 3,153.53, 4,732.58 and 1,205.74

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Solution

The fourth proportional to 3,153.53, 4,732.58 and 1,205.74 is: 1,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.53 : 4,732.58 = 1,205.74 : x
  2. Step 2: Convert to fraction form
    3,153.53/4,732.58 = 1,205.74/x
  3. Step 3: Cross multiply
    3,153.53x = 4,732.58 × 1,205.74
  4. Step 4: Simplify right side
    3,153.53x = 5,706,254.98
  5. Step 5: Solve for x
    x = 5,706,254.98/3,153.53
  6. Step 6: Final answer
    x = 1,809.48

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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.