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Finding the Fourth Proportional to 20,689.75, 31,039.49 and 6,838.75

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Solution

The fourth proportional to 20,689.75, 31,039.49 and 6,838.75 is: 10,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.75 : 31,039.49 = 6,838.75 : x
  2. Step 2: Convert to fraction form
    20,689.75/31,039.49 = 6,838.75/x
  3. Step 3: Cross multiply
    20,689.75x = 31,039.49 × 6,838.75
  4. Step 4: Simplify right side
    20,689.75x = 212,271,312.24
  5. Step 5: Solve for x
    x = 212,271,312.24/20,689.75
  6. Step 6: Final answer
    x = 10,259.73

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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.