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Finding the Fourth Proportional to 12,576.97, 18,869.40 and 5,184.91

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Solution

The fourth proportional to 12,576.97, 18,869.40 and 5,184.91 is: 7,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.97 : 18,869.40 = 5,184.91 : x
  2. Step 2: Convert to fraction form
    12,576.97/18,869.40 = 5,184.91/x
  3. Step 3: Cross multiply
    12,576.97x = 18,869.40 × 5,184.91
  4. Step 4: Simplify right side
    12,576.97x = 97,836,143.54
  5. Step 5: Solve for x
    x = 97,836,143.54/12,576.97
  6. Step 6: Final answer
    x = 7,778.99

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1.5x scale

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.