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Finding the Fourth Proportional to 20,984.57, 31,476.85 and 7,133.57

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Solution

The fourth proportional to 20,984.57, 31,476.85 and 7,133.57 is: 10,700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984.57 : 31,476.85 = 7,133.57 : x
  2. Step 2: Convert to fraction form
    20,984.57/31,476.85 = 7,133.57/x
  3. Step 3: Cross multiply
    20,984.57x = 31,476.85 × 7,133.57
  4. Step 4: Simplify right side
    20,984.57x = 224,542,119.80
  5. Step 5: Solve for x
    x = 224,542,119.80/20,984.57
  6. Step 6: Final answer
    x = 10,700.35

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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.