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Finding the Fourth Proportional to 19,709.70, 29,566.38 and 7,860.60

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Solution

The fourth proportional to 19,709.70, 29,566.38 and 7,860.60 is: 11,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.70 : 29,566.38 = 7,860.60 : x
  2. Step 2: Convert to fraction form
    19,709.70/29,566.38 = 7,860.60/x
  3. Step 3: Cross multiply
    19,709.70x = 29,566.38 × 7,860.60
  4. Step 4: Simplify right side
    19,709.70x = 232,409,486.63
  5. Step 5: Solve for x
    x = 232,409,486.63/19,709.70
  6. Step 6: Final answer
    x = 11,791.63

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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.