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Finding the Fourth Proportional to 8,512.64, 12,768.80 and 2,356.48

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Solution

The fourth proportional to 8,512.64, 12,768.80 and 2,356.48 is: 3,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.64 : 12,768.80 = 2,356.48 : x
  2. Step 2: Convert to fraction form
    8,512.64/12,768.80 = 2,356.48/x
  3. Step 3: Cross multiply
    8,512.64x = 12,768.80 × 2,356.48
  4. Step 4: Simplify right side
    8,512.64x = 30,089,421.82
  5. Step 5: Solve for x
    x = 30,089,421.82/8,512.64
  6. Step 6: Final answer
    x = 3,534.68

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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.