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Finding the Fourth Proportional to 19,655.90, 29,496 and 7,969.22

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Solution

The fourth proportional to 19,655.90, 29,496 and 7,969.22 is: 11,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,655.90 : 29,496 = 7,969.22 : x
  2. Step 2: Convert to fraction form
    19,655.90/29,496 = 7,969.22/x
  3. Step 3: Cross multiply
    19,655.90x = 29,496 × 7,969.22
  4. Step 4: Simplify right side
    19,655.90x = 235,060,113.12
  5. Step 5: Solve for x
    x = 235,060,113.12/19,655.90
  6. Step 6: Final answer
    x = 11,958.76

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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.