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Finding the Fourth Proportional to 11,888.66, 16,405.80 and 6,853.78

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Solution

The fourth proportional to 11,888.66, 16,405.80 and 6,853.78 is: 9,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.66 : 16,405.80 = 6,853.78 : x
  2. Step 2: Convert to fraction form
    11,888.66/16,405.80 = 6,853.78/x
  3. Step 3: Cross multiply
    11,888.66x = 16,405.80 × 6,853.78
  4. Step 4: Simplify right side
    11,888.66x = 112,441,743.92
  5. Step 5: Solve for x
    x = 112,441,743.92/11,888.66
  6. Step 6: Final answer
    x = 9,457.90

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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.