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Finding the Fourth Proportional to 2,626.36, 3,938.82 and 776.92

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Solution

The fourth proportional to 2,626.36, 3,938.82 and 776.92 is: 1,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.36 : 3,938.82 = 776.92 : x
  2. Step 2: Convert to fraction form
    2,626.36/3,938.82 = 776.92/x
  3. Step 3: Cross multiply
    2,626.36x = 3,938.82 × 776.92
  4. Step 4: Simplify right side
    2,626.36x = 3,060,148.03
  5. Step 5: Solve for x
    x = 3,060,148.03/2,626.36
  6. Step 6: Final answer
    x = 1,165.17

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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.