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Finding the Fourth Proportional to 9,964.80, 14,955.30 and 9,640.80

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Solution

The fourth proportional to 9,964.80, 14,955.30 and 9,640.80 is: 14,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.80 : 14,955.30 = 9,640.80 : x
  2. Step 2: Convert to fraction form
    9,964.80/14,955.30 = 9,640.80/x
  3. Step 3: Cross multiply
    9,964.80x = 14,955.30 × 9,640.80
  4. Step 4: Simplify right side
    9,964.80x = 144,181,056.24
  5. Step 5: Solve for x
    x = 144,181,056.24/9,964.80
  6. Step 6: Final answer
    x = 14,469.04

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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.