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Finding the Fourth Proportional to 7,693.62, 10,612.94 and 5,171.28

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Solution

The fourth proportional to 7,693.62, 10,612.94 and 5,171.28 is: 7,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.62 : 10,612.94 = 5,171.28 : x
  2. Step 2: Convert to fraction form
    7,693.62/10,612.94 = 5,171.28/x
  3. Step 3: Cross multiply
    7,693.62x = 10,612.94 × 5,171.28
  4. Step 4: Simplify right side
    7,693.62x = 54,882,484.36
  5. Step 5: Solve for x
    x = 54,882,484.36/7,693.62
  6. Step 6: Final answer
    x = 7,133.51

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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.