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Finding the Fourth Proportional to 7,691.81, 11,528.75 and 3,532.25

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Solution

The fourth proportional to 7,691.81, 11,528.75 and 3,532.25 is: 5,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.81 : 11,528.75 = 3,532.25 : x
  2. Step 2: Convert to fraction form
    7,691.81/11,528.75 = 3,532.25/x
  3. Step 3: Cross multiply
    7,691.81x = 11,528.75 × 3,532.25
  4. Step 4: Simplify right side
    7,691.81x = 40,722,464.84
  5. Step 5: Solve for x
    x = 40,722,464.84/7,691.81
  6. Step 6: Final answer
    x = 5,294.27

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1.5x scale

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.