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Finding the Fourth Proportional to 20,500.34, 30,750.53 and 5,709.29

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Solution

The fourth proportional to 20,500.34, 30,750.53 and 5,709.29 is: 8,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.34 : 30,750.53 = 5,709.29 : x
  2. Step 2: Convert to fraction form
    20,500.34/30,750.53 = 5,709.29/x
  3. Step 3: Cross multiply
    20,500.34x = 30,750.53 × 5,709.29
  4. Step 4: Simplify right side
    20,500.34x = 175,563,511.12
  5. Step 5: Solve for x
    x = 175,563,511.12/20,500.34
  6. Step 6: Final answer
    x = 8,563.93

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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.