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Finding the Fourth Proportional to 14,415.92, 19,891.42 and 8,128.30

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Solution

The fourth proportional to 14,415.92, 19,891.42 and 8,128.30 is: 11,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.92 : 19,891.42 = 8,128.30 : x
  2. Step 2: Convert to fraction form
    14,415.92/19,891.42 = 8,128.30/x
  3. Step 3: Cross multiply
    14,415.92x = 19,891.42 × 8,128.30
  4. Step 4: Simplify right side
    14,415.92x = 161,683,429.19
  5. Step 5: Solve for x
    x = 161,683,429.19/14,415.92
  6. Step 6: Final answer
    x = 11,215.62

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1.5x scale

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.