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Finding the Fourth Proportional to 7,855.72, 11,773.53 and 3,686.51

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Solution

The fourth proportional to 7,855.72, 11,773.53 and 3,686.51 is: 5,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.72 : 11,773.53 = 3,686.51 : x
  2. Step 2: Convert to fraction form
    7,855.72/11,773.53 = 3,686.51/x
  3. Step 3: Cross multiply
    7,855.72x = 11,773.53 × 3,686.51
  4. Step 4: Simplify right side
    7,855.72x = 43,403,265.51
  5. Step 5: Solve for x
    x = 43,403,265.51/7,855.72
  6. Step 6: Final answer
    x = 5,525.05

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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.