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Finding the Fourth Proportional to 14,424, 19,905.18 and 7,800

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Solution

The fourth proportional to 14,424, 19,905.18 and 7,800 is: 10,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424 : 19,905.18 = 7,800 : x
  2. Step 2: Convert to fraction form
    14,424/19,905.18 = 7,800/x
  3. Step 3: Cross multiply
    14,424x = 19,905.18 × 7,800
  4. Step 4: Simplify right side
    14,424x = 155,260,404
  5. Step 5: Solve for x
    x = 155,260,404/14,424
  6. Step 6: Final answer
    x = 10,764.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.