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Finding the Fourth Proportional to 30,471.82, 45,714.58 and 10,750.54

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Solution

The fourth proportional to 30,471.82, 45,714.58 and 10,750.54 is: 16,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.82 : 45,714.58 = 10,750.54 : x
  2. Step 2: Convert to fraction form
    30,471.82/45,714.58 = 10,750.54/x
  3. Step 3: Cross multiply
    30,471.82x = 45,714.58 × 10,750.54
  4. Step 4: Simplify right side
    30,471.82x = 491,456,420.87
  5. Step 5: Solve for x
    x = 491,456,420.87/30,471.82
  6. Step 6: Final answer
    x = 16,128.23

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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.