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Finding the Fourth Proportional to 8,580.16, 12,848.46 and 7,189.84

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Solution

The fourth proportional to 8,580.16, 12,848.46 and 7,189.84 is: 10,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.16 : 12,848.46 = 7,189.84 : x
  2. Step 2: Convert to fraction form
    8,580.16/12,848.46 = 7,189.84/x
  3. Step 3: Cross multiply
    8,580.16x = 12,848.46 × 7,189.84
  4. Step 4: Simplify right side
    8,580.16x = 92,378,371.65
  5. Step 5: Solve for x
    x = 92,378,371.65/8,580.16
  6. Step 6: Final answer
    x = 10,766.51

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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.