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Finding the Fourth Proportional to 11,888.57, 16,389.32 and 8,106.89

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Solution

The fourth proportional to 11,888.57, 16,389.32 and 8,106.89 is: 11,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.57 : 16,389.32 = 8,106.89 : x
  2. Step 2: Convert to fraction form
    11,888.57/16,389.32 = 8,106.89/x
  3. Step 3: Cross multiply
    11,888.57x = 16,389.32 × 8,106.89
  4. Step 4: Simplify right side
    11,888.57x = 132,866,291.93
  5. Step 5: Solve for x
    x = 132,866,291.93/11,888.57
  6. Step 6: Final answer
    x = 11,175.97

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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.