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Finding the Fourth Proportional to 11,162.64, 15,405.86 and 6,446.92

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Solution

The fourth proportional to 11,162.64, 15,405.86 and 6,446.92 is: 8,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.64 : 15,405.86 = 6,446.92 : x
  2. Step 2: Convert to fraction form
    11,162.64/15,405.86 = 6,446.92/x
  3. Step 3: Cross multiply
    11,162.64x = 15,405.86 × 6,446.92
  4. Step 4: Simplify right side
    11,162.64x = 99,320,282.91
  5. Step 5: Solve for x
    x = 99,320,282.91/11,162.64
  6. Step 6: Final answer
    x = 8,897.57

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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.