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Finding the Fourth Proportional to 3,139.97, 4,709.99 and 948.79

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Solution

The fourth proportional to 3,139.97, 4,709.99 and 948.79 is: 1,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.97 : 4,709.99 = 948.79 : x
  2. Step 2: Convert to fraction form
    3,139.97/4,709.99 = 948.79/x
  3. Step 3: Cross multiply
    3,139.97x = 4,709.99 × 948.79
  4. Step 4: Simplify right side
    3,139.97x = 4,468,786.67
  5. Step 5: Solve for x
    x = 4,468,786.67/3,139.97
  6. Step 6: Final answer
    x = 1,423.20

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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.