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Finding the Fourth Proportional to 13,382.78, 18,466.64 and 7,719.38

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Solution

The fourth proportional to 13,382.78, 18,466.64 and 7,719.38 is: 10,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.78 : 18,466.64 = 7,719.38 : x
  2. Step 2: Convert to fraction form
    13,382.78/18,466.64 = 7,719.38/x
  3. Step 3: Cross multiply
    13,382.78x = 18,466.64 × 7,719.38
  4. Step 4: Simplify right side
    13,382.78x = 142,551,011.48
  5. Step 5: Solve for x
    x = 142,551,011.48/13,382.78
  6. Step 6: Final answer
    x = 10,651.82

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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.