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Finding the Fourth Proportional to 33,053, 49,579.50 and 8,429

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Solution

The fourth proportional to 33,053, 49,579.50 and 8,429 is: 12,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,053 : 49,579.50 = 8,429 : x
  2. Step 2: Convert to fraction form
    33,053/49,579.50 = 8,429/x
  3. Step 3: Cross multiply
    33,053x = 49,579.50 × 8,429
  4. Step 4: Simplify right side
    33,053x = 417,905,605.50
  5. Step 5: Solve for x
    x = 417,905,605.50/33,053
  6. Step 6: Final answer
    x = 12,643.50

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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.