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Finding the Fourth Proportional to 11,874.49, 16,384.95 and 6,838.92

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Solution

The fourth proportional to 11,874.49, 16,384.95 and 6,838.92 is: 9,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.49 : 16,384.95 = 6,838.92 : x
  2. Step 2: Convert to fraction form
    11,874.49/16,384.95 = 6,838.92/x
  3. Step 3: Cross multiply
    11,874.49x = 16,384.95 × 6,838.92
  4. Step 4: Simplify right side
    11,874.49x = 112,055,362.25
  5. Step 5: Solve for x
    x = 112,055,362.25/11,874.49
  6. Step 6: Final answer
    x = 9,436.65

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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.