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Finding the Fourth Proportional to 2,806.88, 4,210.79 and 858.63

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Solution

The fourth proportional to 2,806.88, 4,210.79 and 858.63 is: 1,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.88 : 4,210.79 = 858.63 : x
  2. Step 2: Convert to fraction form
    2,806.88/4,210.79 = 858.63/x
  3. Step 3: Cross multiply
    2,806.88x = 4,210.79 × 858.63
  4. Step 4: Simplify right side
    2,806.88x = 3,615,510.62
  5. Step 5: Solve for x
    x = 3,615,510.62/2,806.88
  6. Step 6: Final answer
    x = 1,288.09

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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.