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Finding the Fourth Proportional to 3,856.43, 5,784.68 and 934.74

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Solution

The fourth proportional to 3,856.43, 5,784.68 and 934.74 is: 1,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.43 : 5,784.68 = 934.74 : x
  2. Step 2: Convert to fraction form
    3,856.43/5,784.68 = 934.74/x
  3. Step 3: Cross multiply
    3,856.43x = 5,784.68 × 934.74
  4. Step 4: Simplify right side
    3,856.43x = 5,407,174.12
  5. Step 5: Solve for x
    x = 5,407,174.12/3,856.43
  6. Step 6: Final answer
    x = 1,402.12

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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.