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Finding the Fourth Proportional to 19,126, 28,701.96 and 6,814

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Solution

The fourth proportional to 19,126, 28,701.96 and 6,814 is: 10,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,126 : 28,701.96 = 6,814 : x
  2. Step 2: Convert to fraction form
    19,126/28,701.96 = 6,814/x
  3. Step 3: Cross multiply
    19,126x = 28,701.96 × 6,814
  4. Step 4: Simplify right side
    19,126x = 195,575,155.44
  5. Step 5: Solve for x
    x = 195,575,155.44/19,126
  6. Step 6: Final answer
    x = 10,225.62

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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.