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Finding the Fourth Proportional to 4,233, 6,349.74 and 1,311.08

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Solution

The fourth proportional to 4,233, 6,349.74 and 1,311.08 is: 1,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233 : 6,349.74 = 1,311.08 : x
  2. Step 2: Convert to fraction form
    4,233/6,349.74 = 1,311.08/x
  3. Step 3: Cross multiply
    4,233x = 6,349.74 × 1,311.08
  4. Step 4: Simplify right side
    4,233x = 8,325,017.12
  5. Step 5: Solve for x
    x = 8,325,017.12/4,233
  6. Step 6: Final answer
    x = 1,966.69

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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.