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Finding the Fourth Proportional to 20,654.76, 30,981.60 and 7,507.38

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Solution

The fourth proportional to 20,654.76, 30,981.60 and 7,507.38 is: 11,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,654.76 : 30,981.60 = 7,507.38 : x
  2. Step 2: Convert to fraction form
    20,654.76/30,981.60 = 7,507.38/x
  3. Step 3: Cross multiply
    20,654.76x = 30,981.60 × 7,507.38
  4. Step 4: Simplify right side
    20,654.76x = 232,590,644.21
  5. Step 5: Solve for x
    x = 232,590,644.21/20,654.76
  6. Step 6: Final answer
    x = 11,260.87

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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.