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Finding the Fourth Proportional to 11,838.71, 16,343.57 and 8,648.43

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Solution

The fourth proportional to 11,838.71, 16,343.57 and 8,648.43 is: 11,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.71 : 16,343.57 = 8,648.43 : x
  2. Step 2: Convert to fraction form
    11,838.71/16,343.57 = 8,648.43/x
  3. Step 3: Cross multiply
    11,838.71x = 16,343.57 × 8,648.43
  4. Step 4: Simplify right side
    11,838.71x = 141,346,158.62
  5. Step 5: Solve for x
    x = 141,346,158.62/11,838.71
  6. Step 6: Final answer
    x = 11,939.32

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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.