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Finding the Fourth Proportional to 3,856.34, 5,784.52 and 934.64

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Solution

The fourth proportional to 3,856.34, 5,784.52 and 934.64 is: 1,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.34 : 5,784.52 = 934.64 : x
  2. Step 2: Convert to fraction form
    3,856.34/5,784.52 = 934.64/x
  3. Step 3: Cross multiply
    3,856.34x = 5,784.52 × 934.64
  4. Step 4: Simplify right side
    3,856.34x = 5,406,443.77
  5. Step 5: Solve for x
    x = 5,406,443.77/3,856.34
  6. Step 6: Final answer
    x = 1,401.96

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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.