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Finding the Fourth Proportional to 20,573.78, 30,868.23 and 8,730.14

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Solution

The fourth proportional to 20,573.78, 30,868.23 and 8,730.14 is: 13,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.78 : 30,868.23 = 8,730.14 : x
  2. Step 2: Convert to fraction form
    20,573.78/30,868.23 = 8,730.14/x
  3. Step 3: Cross multiply
    20,573.78x = 30,868.23 × 8,730.14
  4. Step 4: Simplify right side
    20,573.78x = 269,483,969.45
  5. Step 5: Solve for x
    x = 269,483,969.45/20,573.78
  6. Step 6: Final answer
    x = 13,098.42

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1.5x scale

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.