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Finding the Fourth Proportional to 9,178.56, 13,784 and 6,839.20

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Solution

The fourth proportional to 9,178.56, 13,784 and 6,839.20 is: 10,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.56 : 13,784 = 6,839.20 : x
  2. Step 2: Convert to fraction form
    9,178.56/13,784 = 6,839.20/x
  3. Step 3: Cross multiply
    9,178.56x = 13,784 × 6,839.20
  4. Step 4: Simplify right side
    9,178.56x = 94,271,532.80
  5. Step 5: Solve for x
    x = 94,271,532.80/9,178.56
  6. Step 6: Final answer
    x = 10,270.84

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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.