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Finding the Fourth Proportional to 19,914.19, 29,871.28 and 8,227.71

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Solution

The fourth proportional to 19,914.19, 29,871.28 and 8,227.71 is: 12,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914.19 : 29,871.28 = 8,227.71 : x
  2. Step 2: Convert to fraction form
    19,914.19/29,871.28 = 8,227.71/x
  3. Step 3: Cross multiply
    19,914.19x = 29,871.28 × 8,227.71
  4. Step 4: Simplify right side
    19,914.19x = 245,772,239.45
  5. Step 5: Solve for x
    x = 245,772,239.45/19,914.19
  6. Step 6: Final answer
    x = 12,341.57

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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.