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Finding the Fourth Proportional to 5,671.98, 8,491.32 and 4,217.58

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Solution

The fourth proportional to 5,671.98, 8,491.32 and 4,217.58 is: 6,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.98 : 8,491.32 = 4,217.58 : x
  2. Step 2: Convert to fraction form
    5,671.98/8,491.32 = 4,217.58/x
  3. Step 3: Cross multiply
    5,671.98x = 8,491.32 × 4,217.58
  4. Step 4: Simplify right side
    5,671.98x = 35,812,821.41
  5. Step 5: Solve for x
    x = 35,812,821.41/5,671.98
  6. Step 6: Final answer
    x = 6,313.99

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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.