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Finding the Fourth Proportional to 20,803.91, 31,205.88 and 6,952.91

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Solution

The fourth proportional to 20,803.91, 31,205.88 and 6,952.91 is: 10,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.91 : 31,205.88 = 6,952.91 : x
  2. Step 2: Convert to fraction form
    20,803.91/31,205.88 = 6,952.91/x
  3. Step 3: Cross multiply
    20,803.91x = 31,205.88 × 6,952.91
  4. Step 4: Simplify right side
    20,803.91x = 216,971,675.11
  5. Step 5: Solve for x
    x = 216,971,675.11/20,803.91
  6. Step 6: Final answer
    x = 10,429.37

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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.