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Finding the Fourth Proportional to 9,519, 13,133.18 and 6,164.39

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Solution

The fourth proportional to 9,519, 13,133.18 and 6,164.39 is: 8,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519 : 13,133.18 = 6,164.39 : x
  2. Step 2: Convert to fraction form
    9,519/13,133.18 = 6,164.39/x
  3. Step 3: Cross multiply
    9,519x = 13,133.18 × 6,164.39
  4. Step 4: Simplify right side
    9,519x = 80,957,946.97
  5. Step 5: Solve for x
    x = 80,957,946.97/9,519
  6. Step 6: Final answer
    x = 8,504.88

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.