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Finding the Fourth Proportional to 19,630, 29,449.86 and 5,779

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Solution

The fourth proportional to 19,630, 29,449.86 and 5,779 is: 8,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,630 : 29,449.86 = 5,779 : x
  2. Step 2: Convert to fraction form
    19,630/29,449.86 = 5,779/x
  3. Step 3: Cross multiply
    19,630x = 29,449.86 × 5,779
  4. Step 4: Simplify right side
    19,630x = 170,190,740.94
  5. Step 5: Solve for x
    x = 170,190,740.94/19,630
  6. Step 6: Final answer
    x = 8,669.93

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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.