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Finding the Fourth Proportional to 3,892.40, 5,838.61 and 970.71

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Solution

The fourth proportional to 3,892.40, 5,838.61 and 970.71 is: 1,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.40 : 5,838.61 = 970.71 : x
  2. Step 2: Convert to fraction form
    3,892.40/5,838.61 = 970.71/x
  3. Step 3: Cross multiply
    3,892.40x = 5,838.61 × 970.71
  4. Step 4: Simplify right side
    3,892.40x = 5,667,588.30
  5. Step 5: Solve for x
    x = 5,667,588.30/3,892.40
  6. Step 6: Final answer
    x = 1,456.06

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Similar ratio
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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.