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Finding the Fourth Proportional to 30,577.10, 45,865.65 and 10,857.65

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Solution

The fourth proportional to 30,577.10, 45,865.65 and 10,857.65 is: 16,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.10 : 45,865.65 = 10,857.65 : x
  2. Step 2: Convert to fraction form
    30,577.10/45,865.65 = 10,857.65/x
  3. Step 3: Cross multiply
    30,577.10x = 45,865.65 × 10,857.65
  4. Step 4: Simplify right side
    30,577.10x = 497,993,174.72
  5. Step 5: Solve for x
    x = 497,993,174.72/30,577.10
  6. Step 6: Final answer
    x = 16,286.48

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Double scale
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Similar ratio
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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.