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Finding the Fourth Proportional to 30,510, 45,765.27 and 12,042

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Solution

The fourth proportional to 30,510, 45,765.27 and 12,042 is: 18,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,510 : 45,765.27 = 12,042 : x
  2. Step 2: Convert to fraction form
    30,510/45,765.27 = 12,042/x
  3. Step 3: Cross multiply
    30,510x = 45,765.27 × 12,042
  4. Step 4: Simplify right side
    30,510x = 551,105,381.34
  5. Step 5: Solve for x
    x = 551,105,381.34/30,510
  6. Step 6: Final answer
    x = 18,063.11

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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.