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Finding the Fourth Proportional to 6,811.76, 10,216.64 and 1,880.16

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Solution

The fourth proportional to 6,811.76, 10,216.64 and 1,880.16 is: 2,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.76 : 10,216.64 = 1,880.16 : x
  2. Step 2: Convert to fraction form
    6,811.76/10,216.64 = 1,880.16/x
  3. Step 3: Cross multiply
    6,811.76x = 10,216.64 × 1,880.16
  4. Step 4: Simplify right side
    6,811.76x = 19,208,917.86
  5. Step 5: Solve for x
    x = 19,208,917.86/6,811.76
  6. Step 6: Final answer
    x = 2,819.96

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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.