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Finding the Fourth Proportional to 2,707.80, 4,061.75 and 858.93

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Solution

The fourth proportional to 2,707.80, 4,061.75 and 858.93 is: 1,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.80 : 4,061.75 = 858.93 : x
  2. Step 2: Convert to fraction form
    2,707.80/4,061.75 = 858.93/x
  3. Step 3: Cross multiply
    2,707.80x = 4,061.75 × 858.93
  4. Step 4: Simplify right side
    2,707.80x = 3,488,758.93
  5. Step 5: Solve for x
    x = 3,488,758.93/2,707.80
  6. Step 6: Final answer
    x = 1,288.41

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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.