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Finding the Fourth Proportional to 7,779.96, 11,671.65 and 2,232.88

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Solution

The fourth proportional to 7,779.96, 11,671.65 and 2,232.88 is: 3,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.96 : 11,671.65 = 2,232.88 : x
  2. Step 2: Convert to fraction form
    7,779.96/11,671.65 = 2,232.88/x
  3. Step 3: Cross multiply
    7,779.96x = 11,671.65 × 2,232.88
  4. Step 4: Simplify right side
    7,779.96x = 26,061,364.67
  5. Step 5: Solve for x
    x = 26,061,364.67/7,779.96
  6. Step 6: Final answer
    x = 3,349.81

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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.