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Finding the Fourth Proportional to 20,803.70, 31,205.55 and 9,139.70

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Solution

The fourth proportional to 20,803.70, 31,205.55 and 9,139.70 is: 13,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.70 : 31,205.55 = 9,139.70 : x
  2. Step 2: Convert to fraction form
    20,803.70/31,205.55 = 9,139.70/x
  3. Step 3: Cross multiply
    20,803.70x = 31,205.55 × 9,139.70
  4. Step 4: Simplify right side
    20,803.70x = 285,209,365.34
  5. Step 5: Solve for x
    x = 285,209,365.34/20,803.70
  6. Step 6: Final answer
    x = 13,709.55

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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.