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Finding the Fourth Proportional to 19,113.81, 28,642.92 and 8,427.16

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Solution

The fourth proportional to 19,113.81, 28,642.92 and 8,427.16 is: 12,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,113.81 : 28,642.92 = 8,427.16 : x
  2. Step 2: Convert to fraction form
    19,113.81/28,642.92 = 8,427.16/x
  3. Step 3: Cross multiply
    19,113.81x = 28,642.92 × 8,427.16
  4. Step 4: Simplify right side
    19,113.81x = 241,378,469.71
  5. Step 5: Solve for x
    x = 241,378,469.71/19,113.81
  6. Step 6: Final answer
    x = 12,628.49

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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.