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Finding the Fourth Proportional to 30,147, 45,224.34 and 8,259

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Solution

The fourth proportional to 30,147, 45,224.34 and 8,259 is: 12,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147 : 45,224.34 = 8,259 : x
  2. Step 2: Convert to fraction form
    30,147/45,224.34 = 8,259/x
  3. Step 3: Cross multiply
    30,147x = 45,224.34 × 8,259
  4. Step 4: Simplify right side
    30,147x = 373,507,824.06
  5. Step 5: Solve for x
    x = 373,507,824.06/30,147
  6. Step 6: Final answer
    x = 12,389.55

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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.