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Finding the Fourth Proportional to 30,082.74, 45,109.86 and 9,014.64

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Solution

The fourth proportional to 30,082.74, 45,109.86 and 9,014.64 is: 13,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.74 : 45,109.86 = 9,014.64 : x
  2. Step 2: Convert to fraction form
    30,082.74/45,109.86 = 9,014.64/x
  3. Step 3: Cross multiply
    30,082.74x = 45,109.86 × 9,014.64
  4. Step 4: Simplify right side
    30,082.74x = 406,649,148.35
  5. Step 5: Solve for x
    x = 406,649,148.35/30,082.74
  6. Step 6: Final answer
    x = 13,517.69

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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.