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Finding the Fourth Proportional to 11,888.72, 16,407.48 and 6,584.54

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Solution

The fourth proportional to 11,888.72, 16,407.48 and 6,584.54 is: 9,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.72 : 16,407.48 = 6,584.54 : x
  2. Step 2: Convert to fraction form
    11,888.72/16,407.48 = 6,584.54/x
  3. Step 3: Cross multiply
    11,888.72x = 16,407.48 × 6,584.54
  4. Step 4: Simplify right side
    11,888.72x = 108,035,708.36
  5. Step 5: Solve for x
    x = 108,035,708.36/11,888.72
  6. Step 6: Final answer
    x = 9,087.24

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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.