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Finding the Fourth Proportional to 30,249, 45,373.50 and 11,793.96

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Solution

The fourth proportional to 30,249, 45,373.50 and 11,793.96 is: 17,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,249 : 45,373.50 = 11,793.96 : x
  2. Step 2: Convert to fraction form
    30,249/45,373.50 = 11,793.96/x
  3. Step 3: Cross multiply
    30,249x = 45,373.50 × 11,793.96
  4. Step 4: Simplify right side
    30,249x = 535,133,244.06
  5. Step 5: Solve for x
    x = 535,133,244.06/30,249
  6. Step 6: Final answer
    x = 17,690.94

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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.