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Finding the Fourth Proportional to 19,120, 28,674.52 and 8,029.18

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Solution

The fourth proportional to 19,120, 28,674.52 and 8,029.18 is: 12,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120 : 28,674.52 = 8,029.18 : x
  2. Step 2: Convert to fraction form
    19,120/28,674.52 = 8,029.18/x
  3. Step 3: Cross multiply
    19,120x = 28,674.52 × 8,029.18
  4. Step 4: Simplify right side
    19,120x = 230,232,882.49
  5. Step 5: Solve for x
    x = 230,232,882.49/19,120
  6. Step 6: Final answer
    x = 12,041.47

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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.