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Finding the Fourth Proportional to 2,707.71, 4,061.58 and 858.83

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Solution

The fourth proportional to 2,707.71, 4,061.58 and 858.83 is: 1,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.71 : 4,061.58 = 858.83 : x
  2. Step 2: Convert to fraction form
    2,707.71/4,061.58 = 858.83/x
  3. Step 3: Cross multiply
    2,707.71x = 4,061.58 × 858.83
  4. Step 4: Simplify right side
    2,707.71x = 3,488,183.22
  5. Step 5: Solve for x
    x = 3,488,183.22/2,707.71
  6. Step 6: Final answer
    x = 1,288.24

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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.