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Finding the Fourth Proportional to 20,029, 30,043.91 and 6,178

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Solution

The fourth proportional to 20,029, 30,043.91 and 6,178 is: 9,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029 : 30,043.91 = 6,178 : x
  2. Step 2: Convert to fraction form
    20,029/30,043.91 = 6,178/x
  3. Step 3: Cross multiply
    20,029x = 30,043.91 × 6,178
  4. Step 4: Simplify right side
    20,029x = 185,611,275.98
  5. Step 5: Solve for x
    x = 185,611,275.98/20,029
  6. Step 6: Final answer
    x = 9,267.13

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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.