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Finding the Fourth Proportional to 30,577.01, 45,871.71 and 10,857.12

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Solution

The fourth proportional to 30,577.01, 45,871.71 and 10,857.12 is: 16,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.01 : 45,871.71 = 10,857.12 : x
  2. Step 2: Convert to fraction form
    30,577.01/45,871.71 = 10,857.12/x
  3. Step 3: Cross multiply
    30,577.01x = 45,871.71 × 10,857.12
  4. Step 4: Simplify right side
    30,577.01x = 498,034,660.08
  5. Step 5: Solve for x
    x = 498,034,660.08/30,577.01
  6. Step 6: Final answer
    x = 16,287.88

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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.