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Finding the Fourth Proportional to 12,405.76, 18,611.37 and 6,867.18

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Solution

The fourth proportional to 12,405.76, 18,611.37 and 6,867.18 is: 10,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.76 : 18,611.37 = 6,867.18 : x
  2. Step 2: Convert to fraction form
    12,405.76/18,611.37 = 6,867.18/x
  3. Step 3: Cross multiply
    12,405.76x = 18,611.37 × 6,867.18
  4. Step 4: Simplify right side
    12,405.76x = 127,807,627.84
  5. Step 5: Solve for x
    x = 127,807,627.84/12,405.76
  6. Step 6: Final answer
    x = 10,302.28

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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.