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Finding the Fourth Proportional to 7,658, 11,488.92 and 2,186

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Solution

The fourth proportional to 7,658, 11,488.92 and 2,186 is: 3,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658 : 11,488.92 = 2,186 : x
  2. Step 2: Convert to fraction form
    7,658/11,488.92 = 2,186/x
  3. Step 3: Cross multiply
    7,658x = 11,488.92 × 2,186
  4. Step 4: Simplify right side
    7,658x = 25,114,779.12
  5. Step 5: Solve for x
    x = 25,114,779.12/7,658
  6. Step 6: Final answer
    x = 3,279.55

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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.