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Finding the Fourth Proportional to 5,671.09, 7,826.10 and 3,312.77

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Solution

The fourth proportional to 5,671.09, 7,826.10 and 3,312.77 is: 4,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.09 : 7,826.10 = 3,312.77 : x
  2. Step 2: Convert to fraction form
    5,671.09/7,826.10 = 3,312.77/x
  3. Step 3: Cross multiply
    5,671.09x = 7,826.10 × 3,312.77
  4. Step 4: Simplify right side
    5,671.09x = 25,926,069.30
  5. Step 5: Solve for x
    x = 25,926,069.30/5,671.09
  6. Step 6: Final answer
    x = 4,571.62

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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.