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Finding the Fourth Proportional to 9,187.97, 12,647.39 and 8,006.99

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Solution

The fourth proportional to 9,187.97, 12,647.39 and 8,006.99 is: 11,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.97 : 12,647.39 = 8,006.99 : x
  2. Step 2: Convert to fraction form
    9,187.97/12,647.39 = 8,006.99/x
  3. Step 3: Cross multiply
    9,187.97x = 12,647.39 × 8,006.99
  4. Step 4: Simplify right side
    9,187.97x = 101,267,421.98
  5. Step 5: Solve for x
    x = 101,267,421.98/9,187.97
  6. Step 6: Final answer
    x = 11,021.75

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1.5x scale

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.