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Finding the Fourth Proportional to 11,805, 16,290.58 and 6,499.85

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Solution

The fourth proportional to 11,805, 16,290.58 and 6,499.85 is: 8,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805 : 16,290.58 = 6,499.85 : x
  2. Step 2: Convert to fraction form
    11,805/16,290.58 = 6,499.85/x
  3. Step 3: Cross multiply
    11,805x = 16,290.58 × 6,499.85
  4. Step 4: Simplify right side
    11,805x = 105,886,228.71
  5. Step 5: Solve for x
    x = 105,886,228.71/11,805
  6. Step 6: Final answer
    x = 8,969.61

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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.