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Finding the Fourth Proportional to 30,186.12, 45,277.02 and 9,409

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Solution

The fourth proportional to 30,186.12, 45,277.02 and 9,409 is: 14,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186.12 : 45,277.02 = 9,409 : x
  2. Step 2: Convert to fraction form
    30,186.12/45,277.02 = 9,409/x
  3. Step 3: Cross multiply
    30,186.12x = 45,277.02 × 9,409
  4. Step 4: Simplify right side
    30,186.12x = 426,011,481.18
  5. Step 5: Solve for x
    x = 426,011,481.18/30,186.12
  6. Step 6: Final answer
    x = 14,112.83

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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.