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Finding the Fourth Proportional to 9,965.65, 14,940.78 and 6,459.16

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Solution

The fourth proportional to 9,965.65, 14,940.78 and 6,459.16 is: 9,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.65 : 14,940.78 = 6,459.16 : x
  2. Step 2: Convert to fraction form
    9,965.65/14,940.78 = 6,459.16/x
  3. Step 3: Cross multiply
    9,965.65x = 14,940.78 × 6,459.16
  4. Step 4: Simplify right side
    9,965.65x = 96,504,888.54
  5. Step 5: Solve for x
    x = 96,504,888.54/9,965.65
  6. Step 6: Final answer
    x = 9,683.75

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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.