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Finding the Fourth Proportional to 8,567.76, 12,855.96 and 6,109.68

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Solution

The fourth proportional to 8,567.76, 12,855.96 and 6,109.68 is: 9,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.76 : 12,855.96 = 6,109.68 : x
  2. Step 2: Convert to fraction form
    8,567.76/12,855.96 = 6,109.68/x
  3. Step 3: Cross multiply
    8,567.76x = 12,855.96 × 6,109.68
  4. Step 4: Simplify right side
    8,567.76x = 78,545,801.69
  5. Step 5: Solve for x
    x = 78,545,801.69/8,567.76
  6. Step 6: Final answer
    x = 9,167.60

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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.