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Finding the Fourth Proportional to 33,054, 49,581 and 8,430

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Solution

The fourth proportional to 33,054, 49,581 and 8,430 is: 12,645

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,054 : 49,581 = 8,430 : x
  2. Step 2: Convert to fraction form
    33,054/49,581 = 8,430/x
  3. Step 3: Cross multiply
    33,054x = 49,581 × 8,430
  4. Step 4: Simplify right side
    33,054x = 417,967,830
  5. Step 5: Solve for x
    x = 417,967,830/33,054
  6. Step 6: Final answer
    x = 12,645

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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.