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Finding the Fourth Proportional to 8,585.30, 12,858.12 and 8,289.80

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Solution

The fourth proportional to 8,585.30, 12,858.12 and 8,289.80 is: 12,415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.30 : 12,858.12 = 8,289.80 : x
  2. Step 2: Convert to fraction form
    8,585.30/12,858.12 = 8,289.80/x
  3. Step 3: Cross multiply
    8,585.30x = 12,858.12 × 8,289.80
  4. Step 4: Simplify right side
    8,585.30x = 106,591,243.18
  5. Step 5: Solve for x
    x = 106,591,243.18/8,585.30
  6. Step 6: Final answer
    x = 12,415.55

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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.