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Finding the Fourth Proportional to 5,671, 8,510.15 and 2,208.25

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Solution

The fourth proportional to 5,671, 8,510.15 and 2,208.25 is: 3,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671 : 8,510.15 = 2,208.25 : x
  2. Step 2: Convert to fraction form
    5,671/8,510.15 = 2,208.25/x
  3. Step 3: Cross multiply
    5,671x = 8,510.15 × 2,208.25
  4. Step 4: Simplify right side
    5,671x = 18,792,538.74
  5. Step 5: Solve for x
    x = 18,792,538.74/5,671
  6. Step 6: Final answer
    x = 3,313.80

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Why These Related Problems?

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