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Finding the Fourth Proportional to 11,639, 16,062.90 and 6,671

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Solution

The fourth proportional to 11,639, 16,062.90 and 6,671 is: 9,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639 : 16,062.90 = 6,671 : x
  2. Step 2: Convert to fraction form
    11,639/16,062.90 = 6,671/x
  3. Step 3: Cross multiply
    11,639x = 16,062.90 × 6,671
  4. Step 4: Simplify right side
    11,639x = 107,155,605.90
  5. Step 5: Solve for x
    x = 107,155,605.90/11,639
  6. Step 6: Final answer
    x = 9,206.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.