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Finding the Fourth Proportional to 9,966, 14,949 and 4,122.75

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Solution

The fourth proportional to 9,966, 14,949 and 4,122.75 is: 6,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966 : 14,949 = 4,122.75 : x
  2. Step 2: Convert to fraction form
    9,966/14,949 = 4,122.75/x
  3. Step 3: Cross multiply
    9,966x = 14,949 × 4,122.75
  4. Step 4: Simplify right side
    9,966x = 61,630,989.75
  5. Step 5: Solve for x
    x = 61,630,989.75/9,966
  6. Step 6: Final answer
    x = 6,184.13

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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.