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Finding the Fourth Proportional to 20,578.36, 30,861.10 and 7,429

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Solution

The fourth proportional to 20,578.36, 30,861.10 and 7,429 is: 11,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.36 : 30,861.10 = 7,429 : x
  2. Step 2: Convert to fraction form
    20,578.36/30,861.10 = 7,429/x
  3. Step 3: Cross multiply
    20,578.36x = 30,861.10 × 7,429
  4. Step 4: Simplify right side
    20,578.36x = 229,267,111.90
  5. Step 5: Solve for x
    x = 229,267,111.90/20,578.36
  6. Step 6: Final answer
    x = 11,141.18

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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.