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Finding the Fourth Proportional to 11,859.86, 16,366.45 and 6,824.12

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Solution

The fourth proportional to 11,859.86, 16,366.45 and 6,824.12 is: 9,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.86 : 16,366.45 = 6,824.12 : x
  2. Step 2: Convert to fraction form
    11,859.86/16,366.45 = 6,824.12/x
  3. Step 3: Cross multiply
    11,859.86x = 16,366.45 × 6,824.12
  4. Step 4: Simplify right side
    11,859.86x = 111,686,665.97
  5. Step 5: Solve for x
    x = 111,686,665.97/11,859.86
  6. Step 6: Final answer
    x = 9,417.20

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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.