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Finding the Fourth Proportional to 8,857.60, 13,257.60 and 6,265.60

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Solution

The fourth proportional to 8,857.60, 13,257.60 and 6,265.60 is: 9,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.60 : 13,257.60 = 6,265.60 : x
  2. Step 2: Convert to fraction form
    8,857.60/13,257.60 = 6,265.60/x
  3. Step 3: Cross multiply
    8,857.60x = 13,257.60 × 6,265.60
  4. Step 4: Simplify right side
    8,857.60x = 83,066,818.56
  5. Step 5: Solve for x
    x = 83,066,818.56/8,857.60
  6. Step 6: Final answer
    x = 9,378.03

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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.