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Finding the Fourth Proportional to 15,779, 21,775.15 and 8,705.68

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Solution

The fourth proportional to 15,779, 21,775.15 and 8,705.68 is: 12,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779 : 21,775.15 = 8,705.68 : x
  2. Step 2: Convert to fraction form
    15,779/21,775.15 = 8,705.68/x
  3. Step 3: Cross multiply
    15,779x = 21,775.15 × 8,705.68
  4. Step 4: Simplify right side
    15,779x = 189,567,487.85
  5. Step 5: Solve for x
    x = 189,567,487.85/15,779
  6. Step 6: Final answer
    x = 12,013.91

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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.