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Finding the Fourth Proportional to 19,120, 28,681.92 and 6,812.80

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Solution

The fourth proportional to 19,120, 28,681.92 and 6,812.80 is: 10,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120 : 28,681.92 = 6,812.80 : x
  2. Step 2: Convert to fraction form
    19,120/28,681.92 = 6,812.80/x
  3. Step 3: Cross multiply
    19,120x = 28,681.92 × 6,812.80
  4. Step 4: Simplify right side
    19,120x = 195,404,184.58
  5. Step 5: Solve for x
    x = 195,404,184.58/19,120
  6. Step 6: Final answer
    x = 10,219.88

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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.