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Finding the Fourth Proportional to 20,307.70, 30,427.80 and 19,539.82

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Solution

The fourth proportional to 20,307.70, 30,427.80 and 19,539.82 is: 29,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.70 : 30,427.80 = 19,539.82 : x
  2. Step 2: Convert to fraction form
    20,307.70/30,427.80 = 19,539.82/x
  3. Step 3: Cross multiply
    20,307.70x = 30,427.80 × 19,539.82
  4. Step 4: Simplify right side
    20,307.70x = 594,553,735.00
  5. Step 5: Solve for x
    x = 594,553,735.00/20,307.70
  6. Step 6: Final answer
    x = 29,277.26

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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.