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Finding the Fourth Proportional to 9,966, 14,949.60 and 3,040.56

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Solution

The fourth proportional to 9,966, 14,949.60 and 3,040.56 is: 4,561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966 : 14,949.60 = 3,040.56 : x
  2. Step 2: Convert to fraction form
    9,966/14,949.60 = 3,040.56/x
  3. Step 3: Cross multiply
    9,966x = 14,949.60 × 3,040.56
  4. Step 4: Simplify right side
    9,966x = 45,455,155.78
  5. Step 5: Solve for x
    x = 45,455,155.78/9,966
  6. Step 6: Final answer
    x = 4,561.02

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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.