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Finding the Fourth Proportional to 17,716.58, 26,556.64 and 7,860.50

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Solution

The fourth proportional to 17,716.58, 26,556.64 and 7,860.50 is: 11,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.58 : 26,556.64 = 7,860.50 : x
  2. Step 2: Convert to fraction form
    17,716.58/26,556.64 = 7,860.50/x
  3. Step 3: Cross multiply
    17,716.58x = 26,556.64 × 7,860.50
  4. Step 4: Simplify right side
    17,716.58x = 208,748,468.72
  5. Step 5: Solve for x
    x = 208,748,468.72/17,716.58
  6. Step 6: Final answer
    x = 11,782.66

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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.