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Finding the Fourth Proportional to 9,960, 14,940 and 3,034.50

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Solution

The fourth proportional to 9,960, 14,940 and 3,034.50 is: 4,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960 : 14,940 = 3,034.50 : x
  2. Step 2: Convert to fraction form
    9,960/14,940 = 3,034.50/x
  3. Step 3: Cross multiply
    9,960x = 14,940 × 3,034.50
  4. Step 4: Simplify right side
    9,960x = 45,335,430
  5. Step 5: Solve for x
    x = 45,335,430/9,960
  6. Step 6: Final answer
    x = 4,551.75

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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.