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Finding the Fourth Proportional to 3,856.24, 5,784.62 and 1,357.12

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Solution

The fourth proportional to 3,856.24, 5,784.62 and 1,357.12 is: 2,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.24 : 5,784.62 = 1,357.12 : x
  2. Step 2: Convert to fraction form
    3,856.24/5,784.62 = 1,357.12/x
  3. Step 3: Cross multiply
    3,856.24x = 5,784.62 × 1,357.12
  4. Step 4: Simplify right side
    3,856.24x = 7,850,423.49
  5. Step 5: Solve for x
    x = 7,850,423.49/3,856.24
  6. Step 6: Final answer
    x = 2,035.77

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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.