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Finding the Fourth Proportional to 7,914.60, 11,847.60 and 7,477.20

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Solution

The fourth proportional to 7,914.60, 11,847.60 and 7,477.20 is: 11,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.60 : 11,847.60 = 7,477.20 : x
  2. Step 2: Convert to fraction form
    7,914.60/11,847.60 = 7,477.20/x
  3. Step 3: Cross multiply
    7,914.60x = 11,847.60 × 7,477.20
  4. Step 4: Simplify right side
    7,914.60x = 88,586,874.72
  5. Step 5: Solve for x
    x = 88,586,874.72/7,914.60
  6. Step 6: Final answer
    x = 11,192.84

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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.