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Finding the Fourth Proportional to 11,874.99, 16,385.64 and 6,839.42

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Solution

The fourth proportional to 11,874.99, 16,385.64 and 6,839.42 is: 9,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.99 : 16,385.64 = 6,839.42 : x
  2. Step 2: Convert to fraction form
    11,874.99/16,385.64 = 6,839.42/x
  3. Step 3: Cross multiply
    11,874.99x = 16,385.64 × 6,839.42
  4. Step 4: Simplify right side
    11,874.99x = 112,068,192.00
  5. Step 5: Solve for x
    x = 112,068,192.00/11,874.99
  6. Step 6: Final answer
    x = 9,437.33

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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.