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Finding the Fourth Proportional to 20,847.70, 31,283.70 and 7,701.40

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Solution

The fourth proportional to 20,847.70, 31,283.70 and 7,701.40 is: 11,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847.70 : 31,283.70 = 7,701.40 : x
  2. Step 2: Convert to fraction form
    20,847.70/31,283.70 = 7,701.40/x
  3. Step 3: Cross multiply
    20,847.70x = 31,283.70 × 7,701.40
  4. Step 4: Simplify right side
    20,847.70x = 240,928,287.18
  5. Step 5: Solve for x
    x = 240,928,287.18/20,847.70
  6. Step 6: Final answer
    x = 11,556.59

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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.