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Finding the Fourth Proportional to 20,585.76, 30,878.64 and 5,003.28

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Solution

The fourth proportional to 20,585.76, 30,878.64 and 5,003.28 is: 7,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.76 : 30,878.64 = 5,003.28 : x
  2. Step 2: Convert to fraction form
    20,585.76/30,878.64 = 5,003.28/x
  3. Step 3: Cross multiply
    20,585.76x = 30,878.64 × 5,003.28
  4. Step 4: Simplify right side
    20,585.76x = 154,494,481.94
  5. Step 5: Solve for x
    x = 154,494,481.94/20,585.76
  6. Step 6: Final answer
    x = 7,504.92

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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.