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Finding the Fourth Proportional to 11,876.99, 16,388.40 and 6,841.42

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Solution

The fourth proportional to 11,876.99, 16,388.40 and 6,841.42 is: 9,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.99 : 16,388.40 = 6,841.42 : x
  2. Step 2: Convert to fraction form
    11,876.99/16,388.40 = 6,841.42/x
  3. Step 3: Cross multiply
    11,876.99x = 16,388.40 × 6,841.42
  4. Step 4: Simplify right side
    11,876.99x = 112,119,927.53
  5. Step 5: Solve for x
    x = 112,119,927.53/11,876.99
  6. Step 6: Final answer
    x = 9,440.10

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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.