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Finding the Fourth Proportional to 9,763, 14,639.91 and 4,212.88

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Solution

The fourth proportional to 9,763, 14,639.91 and 4,212.88 is: 6,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763 : 14,639.91 = 4,212.88 : x
  2. Step 2: Convert to fraction form
    9,763/14,639.91 = 4,212.88/x
  3. Step 3: Cross multiply
    9,763x = 14,639.91 × 4,212.88
  4. Step 4: Simplify right side
    9,763x = 61,676,184.04
  5. Step 5: Solve for x
    x = 61,676,184.04/9,763
  6. Step 6: Final answer
    x = 6,317.34

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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.