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Finding the Fourth Proportional to 19,455.96, 29,186.82 and 7,143

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Solution

The fourth proportional to 19,455.96, 29,186.82 and 7,143 is: 10,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,455.96 : 29,186.82 = 7,143 : x
  2. Step 2: Convert to fraction form
    19,455.96/29,186.82 = 7,143/x
  3. Step 3: Cross multiply
    19,455.96x = 29,186.82 × 7,143
  4. Step 4: Simplify right side
    19,455.96x = 208,481,455.26
  5. Step 5: Solve for x
    x = 208,481,455.26/19,455.96
  6. Step 6: Final answer
    x = 10,715.56

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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.