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Finding the Fourth Proportional to 4,622.81, 6,934.10 and 1,290.96

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Solution

The fourth proportional to 4,622.81, 6,934.10 and 1,290.96 is: 1,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.81 : 6,934.10 = 1,290.96 : x
  2. Step 2: Convert to fraction form
    4,622.81/6,934.10 = 1,290.96/x
  3. Step 3: Cross multiply
    4,622.81x = 6,934.10 × 1,290.96
  4. Step 4: Simplify right side
    4,622.81x = 8,951,639.28
  5. Step 5: Solve for x
    x = 8,951,639.28/4,622.81
  6. Step 6: Final answer
    x = 1,936.41

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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.