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Finding the Fourth Proportional to 8,427.60, 12,628.64 and 4,724.28

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Solution

The fourth proportional to 8,427.60, 12,628.64 and 4,724.28 is: 7,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.60 : 12,628.64 = 4,724.28 : x
  2. Step 2: Convert to fraction form
    8,427.60/12,628.64 = 4,724.28/x
  3. Step 3: Cross multiply
    8,427.60x = 12,628.64 × 4,724.28
  4. Step 4: Simplify right side
    8,427.60x = 59,661,231.38
  5. Step 5: Solve for x
    x = 59,661,231.38/8,427.60
  6. Step 6: Final answer
    x = 7,079.27

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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.