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Finding the Fourth Proportional to 12,482.81, 18,724.64 and 5,459.23

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Solution

The fourth proportional to 12,482.81, 18,724.64 and 5,459.23 is: 8,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.81 : 18,724.64 = 5,459.23 : x
  2. Step 2: Convert to fraction form
    12,482.81/18,724.64 = 5,459.23/x
  3. Step 3: Cross multiply
    12,482.81x = 18,724.64 × 5,459.23
  4. Step 4: Simplify right side
    12,482.81x = 102,222,112.54
  5. Step 5: Solve for x
    x = 102,222,112.54/12,482.81
  6. Step 6: Final answer
    x = 8,189.03

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1.5x scale

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.