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Finding the Fourth Proportional to 12,592.30, 18,893.10 and 5,197.40

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Solution

The fourth proportional to 12,592.30, 18,893.10 and 5,197.40 is: 7,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.30 : 18,893.10 = 5,197.40 : x
  2. Step 2: Convert to fraction form
    12,592.30/18,893.10 = 5,197.40/x
  3. Step 3: Cross multiply
    12,592.30x = 18,893.10 × 5,197.40
  4. Step 4: Simplify right side
    12,592.30x = 98,194,997.94
  5. Step 5: Solve for x
    x = 98,194,997.94/12,592.30
  6. Step 6: Final answer
    x = 7,798.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.