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Finding the Fourth Proportional to 33,078, 49,617.80 and 9,705.18

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Solution

The fourth proportional to 33,078, 49,617.80 and 9,705.18 is: 14,558.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078 : 49,617.80 = 9,705.18 : x
  2. Step 2: Convert to fraction form
    33,078/49,617.80 = 9,705.18/x
  3. Step 3: Cross multiply
    33,078x = 49,617.80 × 9,705.18
  4. Step 4: Simplify right side
    33,078x = 481,549,680.20
  5. Step 5: Solve for x
    x = 481,549,680.20/33,078
  6. Step 6: Final answer
    x = 14,558.00

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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.