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Finding the Fourth Proportional to 11,872.88, 16,384.52 and 6,835.26

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Solution

The fourth proportional to 11,872.88, 16,384.52 and 6,835.26 is: 9,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.88 : 16,384.52 = 6,835.26 : x
  2. Step 2: Convert to fraction form
    11,872.88/16,384.52 = 6,835.26/x
  3. Step 3: Cross multiply
    11,872.88x = 16,384.52 × 6,835.26
  4. Step 4: Simplify right side
    11,872.88x = 111,992,454.18
  5. Step 5: Solve for x
    x = 111,992,454.18/11,872.88
  6. Step 6: Final answer
    x = 9,432.63

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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.