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Finding the Fourth Proportional to 11,595.89, 17,378.17 and 8,461.19

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Solution

The fourth proportional to 11,595.89, 17,378.17 and 8,461.19 is: 12,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.89 : 17,378.17 = 8,461.19 : x
  2. Step 2: Convert to fraction form
    11,595.89/17,378.17 = 8,461.19/x
  3. Step 3: Cross multiply
    11,595.89x = 17,378.17 × 8,461.19
  4. Step 4: Simplify right side
    11,595.89x = 147,040,020.51
  5. Step 5: Solve for x
    x = 147,040,020.51/11,595.89
  6. Step 6: Final answer
    x = 12,680.35

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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.