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Finding the Fourth Proportional to 12,009.60, 18,014.40 and 6,816.96

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Solution

The fourth proportional to 12,009.60, 18,014.40 and 6,816.96 is: 10,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.60 : 18,014.40 = 6,816.96 : x
  2. Step 2: Convert to fraction form
    12,009.60/18,014.40 = 6,816.96/x
  3. Step 3: Cross multiply
    12,009.60x = 18,014.40 × 6,816.96
  4. Step 4: Simplify right side
    12,009.60x = 122,803,444.22
  5. Step 5: Solve for x
    x = 122,803,444.22/12,009.60
  6. Step 6: Final answer
    x = 10,225.44

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Similar ratio
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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.