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Finding the Fourth Proportional to 20,507.40, 30,770.70 and 10,657.80

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Solution

The fourth proportional to 20,507.40, 30,770.70 and 10,657.80 is: 15,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.40 : 30,770.70 = 10,657.80 : x
  2. Step 2: Convert to fraction form
    20,507.40/30,770.70 = 10,657.80/x
  3. Step 3: Cross multiply
    20,507.40x = 30,770.70 × 10,657.80
  4. Step 4: Simplify right side
    20,507.40x = 327,947,966.46
  5. Step 5: Solve for x
    x = 327,947,966.46/20,507.40
  6. Step 6: Final answer
    x = 15,991.69

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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.