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Finding the Fourth Proportional to 5,471.53, 8,205.57 and 1,772.91

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Solution

The fourth proportional to 5,471.53, 8,205.57 and 1,772.91 is: 2,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.53 : 8,205.57 = 1,772.91 : x
  2. Step 2: Convert to fraction form
    5,471.53/8,205.57 = 1,772.91/x
  3. Step 3: Cross multiply
    5,471.53x = 8,205.57 × 1,772.91
  4. Step 4: Simplify right side
    5,471.53x = 14,547,737.11
  5. Step 5: Solve for x
    x = 14,547,737.11/5,471.53
  6. Step 6: Final answer
    x = 2,658.81

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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.