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Finding the Fourth Proportional to 30,343.96, 45,515.94 and 11,863

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Solution

The fourth proportional to 30,343.96, 45,515.94 and 11,863 is: 17,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343.96 : 45,515.94 = 11,863 : x
  2. Step 2: Convert to fraction form
    30,343.96/45,515.94 = 11,863/x
  3. Step 3: Cross multiply
    30,343.96x = 45,515.94 × 11,863
  4. Step 4: Simplify right side
    30,343.96x = 539,955,596.22
  5. Step 5: Solve for x
    x = 539,955,596.22/30,343.96
  6. Step 6: Final answer
    x = 17,794.50

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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.