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Finding the Fourth Proportional to 30,011.08, 45,016.64 and 7,824.40

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Solution

The fourth proportional to 30,011.08, 45,016.64 and 7,824.40 is: 11,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,011.08 : 45,016.64 = 7,824.40 : x
  2. Step 2: Convert to fraction form
    30,011.08/45,016.64 = 7,824.40/x
  3. Step 3: Cross multiply
    30,011.08x = 45,016.64 × 7,824.40
  4. Step 4: Simplify right side
    30,011.08x = 352,228,198.02
  5. Step 5: Solve for x
    x = 352,228,198.02/30,011.08
  6. Step 6: Final answer
    x = 11,736.61

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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.