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Finding the Fourth Proportional to 16,851, 25,266.78 and 7,491

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Solution

The fourth proportional to 16,851, 25,266.78 and 7,491 is: 11,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851 : 25,266.78 = 7,491 : x
  2. Step 2: Convert to fraction form
    16,851/25,266.78 = 7,491/x
  3. Step 3: Cross multiply
    16,851x = 25,266.78 × 7,491
  4. Step 4: Simplify right side
    16,851x = 189,273,448.98
  5. Step 5: Solve for x
    x = 189,273,448.98/16,851
  6. Step 6: Final answer
    x = 11,232.18

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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.