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Finding the Fourth Proportional to 19,720.80, 29,584.80 and 6,574.14

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Solution

The fourth proportional to 19,720.80, 29,584.80 and 6,574.14 is: 9,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720.80 : 29,584.80 = 6,574.14 : x
  2. Step 2: Convert to fraction form
    19,720.80/29,584.80 = 6,574.14/x
  3. Step 3: Cross multiply
    19,720.80x = 29,584.80 × 6,574.14
  4. Step 4: Simplify right side
    19,720.80x = 194,494,617.07
  5. Step 5: Solve for x
    x = 194,494,617.07/19,720.80
  6. Step 6: Final answer
    x = 9,862.41

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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.