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Finding the Fourth Proportional to 9,763, 14,646.34 and 3,920.06

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Solution

The fourth proportional to 9,763, 14,646.34 and 3,920.06 is: 5,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763 : 14,646.34 = 3,920.06 : x
  2. Step 2: Convert to fraction form
    9,763/14,646.34 = 3,920.06/x
  3. Step 3: Cross multiply
    9,763x = 14,646.34 × 3,920.06
  4. Step 4: Simplify right side
    9,763x = 57,414,531.58
  5. Step 5: Solve for x
    x = 57,414,531.58/9,763
  6. Step 6: Final answer
    x = 5,880.83

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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.