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Finding the Fourth Proportional to 7,784.64, 11,676.96 and 3,886.92

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Solution

The fourth proportional to 7,784.64, 11,676.96 and 3,886.92 is: 5,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.64 : 11,676.96 = 3,886.92 : x
  2. Step 2: Convert to fraction form
    7,784.64/11,676.96 = 3,886.92/x
  3. Step 3: Cross multiply
    7,784.64x = 11,676.96 × 3,886.92
  4. Step 4: Simplify right side
    7,784.64x = 45,387,409.36
  5. Step 5: Solve for x
    x = 45,387,409.36/7,784.64
  6. Step 6: Final answer
    x = 5,830.38

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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.