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Finding the Fourth Proportional to 14,182.53, 19,576.20 and 8,215.68

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Solution

The fourth proportional to 14,182.53, 19,576.20 and 8,215.68 is: 11,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.53 : 19,576.20 = 8,215.68 : x
  2. Step 2: Convert to fraction form
    14,182.53/19,576.20 = 8,215.68/x
  3. Step 3: Cross multiply
    14,182.53x = 19,576.20 × 8,215.68
  4. Step 4: Simplify right side
    14,182.53x = 160,831,794.82
  5. Step 5: Solve for x
    x = 160,831,794.82/14,182.53
  6. Step 6: Final answer
    x = 11,340.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.