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Finding the Fourth Proportional to 8,628.60, 12,935.84 and 3,078.80

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Solution

The fourth proportional to 8,628.60, 12,935.84 and 3,078.80 is: 4,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628.60 : 12,935.84 = 3,078.80 : x
  2. Step 2: Convert to fraction form
    8,628.60/12,935.84 = 3,078.80/x
  3. Step 3: Cross multiply
    8,628.60x = 12,935.84 × 3,078.80
  4. Step 4: Simplify right side
    8,628.60x = 39,826,864.19
  5. Step 5: Solve for x
    x = 39,826,864.19/8,628.60
  6. Step 6: Final answer
    x = 4,615.68

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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.