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Finding the Fourth Proportional to 20,672.50, 31,008.76 and 6,821.50

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Solution

The fourth proportional to 20,672.50, 31,008.76 and 6,821.50 is: 10,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,672.50 : 31,008.76 = 6,821.50 : x
  2. Step 2: Convert to fraction form
    20,672.50/31,008.76 = 6,821.50/x
  3. Step 3: Cross multiply
    20,672.50x = 31,008.76 × 6,821.50
  4. Step 4: Simplify right side
    20,672.50x = 211,526,256.34
  5. Step 5: Solve for x
    x = 211,526,256.34/20,672.50
  6. Step 6: Final answer
    x = 10,232.25

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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.