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Finding the Fourth Proportional to 27,609.91, 41,407.90 and 7,888.57

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Solution

The fourth proportional to 27,609.91, 41,407.90 and 7,888.57 is: 11,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,609.91 : 41,407.90 = 7,888.57 : x
  2. Step 2: Convert to fraction form
    27,609.91/41,407.90 = 7,888.57/x
  3. Step 3: Cross multiply
    27,609.91x = 41,407.90 × 7,888.57
  4. Step 4: Simplify right side
    27,609.91x = 326,649,117.70
  5. Step 5: Solve for x
    x = 326,649,117.70/27,609.91
  6. Step 6: Final answer
    x = 11,830.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.