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Finding the Fourth Proportional to 13,279.84, 19,905.84 and 4,956.50

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Solution

The fourth proportional to 13,279.84, 19,905.84 and 4,956.50 is: 7,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,279.84 : 19,905.84 = 4,956.50 : x
  2. Step 2: Convert to fraction form
    13,279.84/19,905.84 = 4,956.50/x
  3. Step 3: Cross multiply
    13,279.84x = 19,905.84 × 4,956.50
  4. Step 4: Simplify right side
    13,279.84x = 98,663,345.72
  5. Step 5: Solve for x
    x = 98,663,345.72/13,279.84
  6. Step 6: Final answer
    x = 7,429.56

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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.