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Finding the Fourth Proportional to 20,495.70, 30,738.15 and 6,455.70

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Solution

The fourth proportional to 20,495.70, 30,738.15 and 6,455.70 is: 9,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.70 : 30,738.15 = 6,455.70 : x
  2. Step 2: Convert to fraction form
    20,495.70/30,738.15 = 6,455.70/x
  3. Step 3: Cross multiply
    20,495.70x = 30,738.15 × 6,455.70
  4. Step 4: Simplify right side
    20,495.70x = 198,436,274.96
  5. Step 5: Solve for x
    x = 198,436,274.96/20,495.70
  6. Step 6: Final answer
    x = 9,681.85

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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.