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Finding the Fourth Proportional to 19,688.34, 29,513.88 and 7,849.41

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Solution

The fourth proportional to 19,688.34, 29,513.88 and 7,849.41 is: 11,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.34 : 29,513.88 = 7,849.41 : x
  2. Step 2: Convert to fraction form
    19,688.34/29,513.88 = 7,849.41/x
  3. Step 3: Cross multiply
    19,688.34x = 29,513.88 × 7,849.41
  4. Step 4: Simplify right side
    19,688.34x = 231,666,544.81
  5. Step 5: Solve for x
    x = 231,666,544.81/19,688.34
  6. Step 6: Final answer
    x = 11,766.69

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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.