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Finding the Fourth Proportional to 9,861, 14,784.21 and 3,283.26

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Solution

The fourth proportional to 9,861, 14,784.21 and 3,283.26 is: 4,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861 : 14,784.21 = 3,283.26 : x
  2. Step 2: Convert to fraction form
    9,861/14,784.21 = 3,283.26/x
  3. Step 3: Cross multiply
    9,861x = 14,784.21 × 3,283.26
  4. Step 4: Simplify right side
    9,861x = 48,540,405.32
  5. Step 5: Solve for x
    x = 48,540,405.32/9,861
  6. Step 6: Final answer
    x = 4,922.46

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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.