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Finding the Fourth Proportional to 19,666.80, 29,504.52 and 6,520.50

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Solution

The fourth proportional to 19,666.80, 29,504.52 and 6,520.50 is: 9,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.80 : 29,504.52 = 6,520.50 : x
  2. Step 2: Convert to fraction form
    19,666.80/29,504.52 = 6,520.50/x
  3. Step 3: Cross multiply
    19,666.80x = 29,504.52 × 6,520.50
  4. Step 4: Simplify right side
    19,666.80x = 192,384,222.66
  5. Step 5: Solve for x
    x = 192,384,222.66/19,666.80
  6. Step 6: Final answer
    x = 9,782.18

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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.