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Finding the Fourth Proportional to 9,665.84, 13,344.68 and 6,645.84

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Solution

The fourth proportional to 9,665.84, 13,344.68 and 6,645.84 is: 9,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.84 : 13,344.68 = 6,645.84 : x
  2. Step 2: Convert to fraction form
    9,665.84/13,344.68 = 6,645.84/x
  3. Step 3: Cross multiply
    9,665.84x = 13,344.68 × 6,645.84
  4. Step 4: Simplify right side
    9,665.84x = 88,686,608.13
  5. Step 5: Solve for x
    x = 88,686,608.13/9,665.84
  6. Step 6: Final answer
    x = 9,175.26

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.