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Finding the Fourth Proportional to 2,639.95, 3,958.75 and 790.71

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Solution

The fourth proportional to 2,639.95, 3,958.75 and 790.71 is: 1,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.95 : 3,958.75 = 790.71 : x
  2. Step 2: Convert to fraction form
    2,639.95/3,958.75 = 790.71/x
  3. Step 3: Cross multiply
    2,639.95x = 3,958.75 × 790.71
  4. Step 4: Simplify right side
    2,639.95x = 3,130,209.36
  5. Step 5: Solve for x
    x = 3,130,209.36/2,639.95
  6. Step 6: Final answer
    x = 1,185.71

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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.