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Finding the Fourth Proportional to 30,297.84, 45,453.48 and 9,239.76

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Solution

The fourth proportional to 30,297.84, 45,453.48 and 9,239.76 is: 13,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.84 : 45,453.48 = 9,239.76 : x
  2. Step 2: Convert to fraction form
    30,297.84/45,453.48 = 9,239.76/x
  3. Step 3: Cross multiply
    30,297.84x = 45,453.48 × 9,239.76
  4. Step 4: Simplify right side
    30,297.84x = 419,979,246.36
  5. Step 5: Solve for x
    x = 419,979,246.36/30,297.84
  6. Step 6: Final answer
    x = 13,861.69

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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.