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Finding the Fourth Proportional to 8,200.35, 12,302.33 and 4,042.35

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Solution

The fourth proportional to 8,200.35, 12,302.33 and 4,042.35 is: 6,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.35 : 12,302.33 = 4,042.35 : x
  2. Step 2: Convert to fraction form
    8,200.35/12,302.33 = 4,042.35/x
  3. Step 3: Cross multiply
    8,200.35x = 12,302.33 × 4,042.35
  4. Step 4: Simplify right side
    8,200.35x = 49,730,303.46
  5. Step 5: Solve for x
    x = 49,730,303.46/8,200.35
  6. Step 6: Final answer
    x = 6,064.41

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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.