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Finding the Fourth Proportional to 10,674.40, 16,016.40 and 5,125.60

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Solution

The fourth proportional to 10,674.40, 16,016.40 and 5,125.60 is: 7,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.40 : 16,016.40 = 5,125.60 : x
  2. Step 2: Convert to fraction form
    10,674.40/16,016.40 = 5,125.60/x
  3. Step 3: Cross multiply
    10,674.40x = 16,016.40 × 5,125.60
  4. Step 4: Simplify right side
    10,674.40x = 82,093,659.84
  5. Step 5: Solve for x
    x = 82,093,659.84/10,674.40
  6. Step 6: Final answer
    x = 7,690.70

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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.