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Finding the Fourth Proportional to 11,586.80, 15,989.80 and 6,281.60

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Solution

The fourth proportional to 11,586.80, 15,989.80 and 6,281.60 is: 8,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.80 : 15,989.80 = 6,281.60 : x
  2. Step 2: Convert to fraction form
    11,586.80/15,989.80 = 6,281.60/x
  3. Step 3: Cross multiply
    11,586.80x = 15,989.80 × 6,281.60
  4. Step 4: Simplify right side
    11,586.80x = 100,441,527.68
  5. Step 5: Solve for x
    x = 100,441,527.68/11,586.80
  6. Step 6: Final answer
    x = 8,668.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.