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Finding the Fourth Proportional to 19,700.80, 29,565.60 and 13,124.80

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Solution

The fourth proportional to 19,700.80, 29,565.60 and 13,124.80 is: 19,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.80 : 29,565.60 = 13,124.80 : x
  2. Step 2: Convert to fraction form
    19,700.80/29,565.60 = 13,124.80/x
  3. Step 3: Cross multiply
    19,700.80x = 29,565.60 × 13,124.80
  4. Step 4: Simplify right side
    19,700.80x = 388,042,586.88
  5. Step 5: Solve for x
    x = 388,042,586.88/19,700.80
  6. Step 6: Final answer
    x = 19,696.79

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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.