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Finding the Fourth Proportional to 20,070.54, 30,108.24 and 9,675

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Solution

The fourth proportional to 20,070.54, 30,108.24 and 9,675 is: 14,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,070.54 : 30,108.24 = 9,675 : x
  2. Step 2: Convert to fraction form
    20,070.54/30,108.24 = 9,675/x
  3. Step 3: Cross multiply
    20,070.54x = 30,108.24 × 9,675
  4. Step 4: Simplify right side
    20,070.54x = 291,297,222
  5. Step 5: Solve for x
    x = 291,297,222/20,070.54
  6. Step 6: Final answer
    x = 14,513.67

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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.