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Finding the Fourth Proportional to 20,803.25, 31,204.88 and 6,952.25

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Solution

The fourth proportional to 20,803.25, 31,204.88 and 6,952.25 is: 10,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.25 : 31,204.88 = 6,952.25 : x
  2. Step 2: Convert to fraction form
    20,803.25/31,204.88 = 6,952.25/x
  3. Step 3: Cross multiply
    20,803.25x = 31,204.88 × 6,952.25
  4. Step 4: Simplify right side
    20,803.25x = 216,944,126.98
  5. Step 5: Solve for x
    x = 216,944,126.98/20,803.25
  6. Step 6: Final answer
    x = 10,428.38

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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.