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Finding the Fourth Proportional to 20,500.93, 30,751.38 and 15,827.74

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Solution

The fourth proportional to 20,500.93, 30,751.38 and 15,827.74 is: 23,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.93 : 30,751.38 = 15,827.74 : x
  2. Step 2: Convert to fraction form
    20,500.93/30,751.38 = 15,827.74/x
  3. Step 3: Cross multiply
    20,500.93x = 30,751.38 × 15,827.74
  4. Step 4: Simplify right side
    20,500.93x = 486,724,770.40
  5. Step 5: Solve for x
    x = 486,724,770.40/20,500.93
  6. Step 6: Final answer
    x = 23,741.59

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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.