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Finding the Fourth Proportional to 11,888.60, 16,406.87 and 6,853.64

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Solution

The fourth proportional to 11,888.60, 16,406.87 and 6,853.64 is: 9,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.60 : 16,406.87 = 6,853.64 : x
  2. Step 2: Convert to fraction form
    11,888.60/16,406.87 = 6,853.64/x
  3. Step 3: Cross multiply
    11,888.60x = 16,406.87 × 6,853.64
  4. Step 4: Simplify right side
    11,888.60x = 112,446,664.20
  5. Step 5: Solve for x
    x = 112,446,664.20/11,888.60
  6. Step 6: Final answer
    x = 9,458.36

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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.