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Finding the Fourth Proportional to 9,843.12, 14,742.72 and 4,638

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Solution

The fourth proportional to 9,843.12, 14,742.72 and 4,638 is: 6,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.12 : 14,742.72 = 4,638 : x
  2. Step 2: Convert to fraction form
    9,843.12/14,742.72 = 4,638/x
  3. Step 3: Cross multiply
    9,843.12x = 14,742.72 × 4,638
  4. Step 4: Simplify right side
    9,843.12x = 68,376,735.36
  5. Step 5: Solve for x
    x = 68,376,735.36/9,843.12
  6. Step 6: Final answer
    x = 6,946.65

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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.