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Finding the Fourth Proportional to 11,607, 16,017.68 and 6,639

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Solution

The fourth proportional to 11,607, 16,017.68 and 6,639 is: 9,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607 : 16,017.68 = 6,639 : x
  2. Step 2: Convert to fraction form
    11,607/16,017.68 = 6,639/x
  3. Step 3: Cross multiply
    11,607x = 16,017.68 × 6,639
  4. Step 4: Simplify right side
    11,607x = 106,341,377.52
  5. Step 5: Solve for x
    x = 106,341,377.52/11,607
  6. Step 6: Final answer
    x = 9,161.83

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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.