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Finding the Fourth Proportional to 30,389.90, 45,584.78 and 8,205.48

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Solution

The fourth proportional to 30,389.90, 45,584.78 and 8,205.48 is: 12,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,389.90 : 45,584.78 = 8,205.48 : x
  2. Step 2: Convert to fraction form
    30,389.90/45,584.78 = 8,205.48/x
  3. Step 3: Cross multiply
    30,389.90x = 45,584.78 × 8,205.48
  4. Step 4: Simplify right side
    30,389.90x = 374,044,959.57
  5. Step 5: Solve for x
    x = 374,044,959.57/30,389.90
  6. Step 6: Final answer
    x = 12,308.20

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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.