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Finding the Fourth Proportional to 12,469.20, 18,703.80 and 7,803.60

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Solution

The fourth proportional to 12,469.20, 18,703.80 and 7,803.60 is: 11,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.20 : 18,703.80 = 7,803.60 : x
  2. Step 2: Convert to fraction form
    12,469.20/18,703.80 = 7,803.60/x
  3. Step 3: Cross multiply
    12,469.20x = 18,703.80 × 7,803.60
  4. Step 4: Simplify right side
    12,469.20x = 145,956,973.68
  5. Step 5: Solve for x
    x = 145,956,973.68/12,469.20
  6. Step 6: Final answer
    x = 11,705.40

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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.