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Finding the Fourth Proportional to 7,761.96, 11,646.72 and 3,866.94

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Solution

The fourth proportional to 7,761.96, 11,646.72 and 3,866.94 is: 5,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.96 : 11,646.72 = 3,866.94 : x
  2. Step 2: Convert to fraction form
    7,761.96/11,646.72 = 3,866.94/x
  3. Step 3: Cross multiply
    7,761.96x = 11,646.72 × 3,866.94
  4. Step 4: Simplify right side
    7,761.96x = 45,037,167.44
  5. Step 5: Solve for x
    x = 45,037,167.44/7,761.96
  6. Step 6: Final answer
    x = 5,802.29

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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.