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Finding the Fourth Proportional to 11,978.77, 16,530.74 and 7,198.80

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Solution

The fourth proportional to 11,978.77, 16,530.74 and 7,198.80 is: 9,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.77 : 16,530.74 = 7,198.80 : x
  2. Step 2: Convert to fraction form
    11,978.77/16,530.74 = 7,198.80/x
  3. Step 3: Cross multiply
    11,978.77x = 16,530.74 × 7,198.80
  4. Step 4: Simplify right side
    11,978.77x = 119,001,491.11
  5. Step 5: Solve for x
    x = 119,001,491.11/11,978.77
  6. Step 6: Final answer
    x = 9,934.37

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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.