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Finding the Fourth Proportional to 30,003.82, 45,005.76 and 7,817.18

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Solution

The fourth proportional to 30,003.82, 45,005.76 and 7,817.18 is: 11,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,003.82 : 45,005.76 = 7,817.18 : x
  2. Step 2: Convert to fraction form
    30,003.82/45,005.76 = 7,817.18/x
  3. Step 3: Cross multiply
    30,003.82x = 45,005.76 × 7,817.18
  4. Step 4: Simplify right side
    30,003.82x = 351,817,901.93
  5. Step 5: Solve for x
    x = 351,817,901.93/30,003.82
  6. Step 6: Final answer
    x = 11,725.77

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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.