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Finding the Fourth Proportional to 9,905, 14,858.34 and 2,979.50

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Solution

The fourth proportional to 9,905, 14,858.34 and 2,979.50 is: 4,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905 : 14,858.34 = 2,979.50 : x
  2. Step 2: Convert to fraction form
    9,905/14,858.34 = 2,979.50/x
  3. Step 3: Cross multiply
    9,905x = 14,858.34 × 2,979.50
  4. Step 4: Simplify right side
    9,905x = 44,270,424.03
  5. Step 5: Solve for x
    x = 44,270,424.03/9,905
  6. Step 6: Final answer
    x = 4,469.50

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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.