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Finding the Fourth Proportional to 20,801.70, 31,202.55 and 9,137.70

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Solution

The fourth proportional to 20,801.70, 31,202.55 and 9,137.70 is: 13,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.70 : 31,202.55 = 9,137.70 : x
  2. Step 2: Convert to fraction form
    20,801.70/31,202.55 = 9,137.70/x
  3. Step 3: Cross multiply
    20,801.70x = 31,202.55 × 9,137.70
  4. Step 4: Simplify right side
    20,801.70x = 285,119,541.14
  5. Step 5: Solve for x
    x = 285,119,541.14/20,801.70
  6. Step 6: Final answer
    x = 13,706.55

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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.