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Finding the Fourth Proportional to 8,419.92, 12,628.88 and 2,576.58

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Solution

The fourth proportional to 8,419.92, 12,628.88 and 2,576.58 is: 3,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.92 : 12,628.88 = 2,576.58 : x
  2. Step 2: Convert to fraction form
    8,419.92/12,628.88 = 2,576.58/x
  3. Step 3: Cross multiply
    8,419.92x = 12,628.88 × 2,576.58
  4. Step 4: Simplify right side
    8,419.92x = 32,539,319.63
  5. Step 5: Solve for x
    x = 32,539,319.63/8,419.92
  6. Step 6: Final answer
    x = 3,864.56

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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.